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Cross Product and Dot Product: Visual explanation
 
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Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK
Scalar Product and Vector Product Of two Vectors
 
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Scalar Product The scalar product and the vector product are the two ways of multiplying vectors which see the most application in physics and astronomy. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other and multiplying it times the magnitude of the other vector. Checkout for more information: https://www.tutorvista.com/content/physics/physics-iii/kinematics/cross-product.php Follow us at: https://www.facebook.com/tutorvista https://twitter.com/TutorVista
Views: 66856 TutorVista
Cross Product of two vectors | in HINDI by EduPoint
 
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In this 'Cross Product - introduction' video in Hindi we explained, very simply, the way how to find the direction and the magnitude of the cross product of two vectors in physics and compared this with dot product of two vectors. All steps are taught in very easy manner. Cross product of two vectors is a vector quantity but the dot product is a scalar quantity. To find out the direction of the cross product we use right hand rule. The magnitude of the cross product is the product of the magnitudes of the two vectors and the sine of the angle between those two vectors. We can also say, for the intuition of the cross product, that the cross product is equal to the area vector of the parallelogram whose two adjacent sides are represented by those two vectors whose cross product we are going to find out. It is a very important topic in Physics and for esp. students of class 11 and class 12 who aspire to appear in IIT JEE. Click to visit the homepage of our channel : https://www.youtube.com/channel/UCG1-22fo1sIhXGuXYpTRqaA EduPoint, Dam Road, Chandil, Dist- Seraikela-Kharsawan, Jharkhand, India.
Views: 53057 EduPoint
Cross Product of Two Vectors Explained!
 
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This physics video tutorial explains how to find the cross product of two vectors using matrices and determinants and how to confirm your answer using the dot product formula. This video contains plenty of examples and practice problems using the components i j k.
Dot and Cross Products
 
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This is part of the Introduction to Electrodynamics series. Here, I compare the dot and cross products of two vectors from a geometric perspective.
Views: 191762 Real Physics
Cross Product (Vector Product ) of two vectors | CBSE 12 Maths NCERT Ex 10.4 intro
 
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This video explains cross product or vector product of two vectors.
Views: 138346 cbseclass videos
The Cross Product
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! In this video, I give the formula for the cross product of two vectors, discuss geometrically what the cross product is, and do an example of finding the cross product. For more free math videos, visit http://PatrickJMT.com
Views: 722119 patrickJMT
Dot vs. cross product | Physics | Khan Academy
 
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Understanding the differences between the dot and cross products. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/calculating-dot-and-cross-products-with-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/the-dot-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 418880 Khan Academy
Vectors - Vector Triple Product in hindi(Part 6)
 
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Namaste to all Friends, This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Class 11th & 12th of CBSE, ICSE, MP Board and other boards of India. we have try to providing quality content without any charge. our Aim is to provide Basic Fundamental concept of maths to all those students who willing to learn it and have no fees to pay coaching Institutes. our Video Lecture are Useful for IITJEE, NDA, Engineering Entrance Exam, Board Exams etc. You can ask your maths problems through our facbook page "VEDAM Institute of Mathematics, Bhopal " . For detail of Institute's Courses, Please visit on :www.vedaminstitute.in Important Links: School Maths video for Class 11th & 12th: https://www.youtube.com/my_videos?o=U Competitive Maths Videos: https://www.youtube.com/my_videos?o=U Engineering Maths Videos & Engineering Geology Video: https://www.youtube.com/my_videos?o=U All the best... Vande Matram
Views: 23213 Jaipal Vishwakarma
Cross product introduction | Vectors and spaces | Linear Algebra | Khan Academy
 
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Introduction to the cross product Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-relationship-between-cross-product-and-sin-of-angle?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-a-plane-in-r3-with-a-point-and-normal-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 504718 Khan Academy
Vectors I How to define a Vector I Vector Products I Vector Operations I Mechanics of Solids
 
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A vector refers to any quantity that needs a magnitude and a direction in order to fully describe the quantity. In this lesson you will learn about the properties of vectors (magnitude and direction) and how to determine what quantities are vectors and what are not vectors. When someone tells you to throw a ball twice as hard and to the left, a vector was just used. When someone tells you to drive northeast for about five miles, a vector was just used. So what exactly is a vector? Any quantity that needs to be fully described by identifying its magnitude and direction is referred to as a vector quantity. By magnitude, we mean size of the quantity, such as length or strength. By direction, we mean where the vector is pointing or where it is being directed, such as left or right, north, south, east, or west, or even up or down. This video is a part of lecture series on subject MECHANICS OF SOLIDS. ===================================================== Best Book Options..!! ►Advanced Mechanics of Solids : http://amzn.to/2wvlEVF (Affiliate) ►Mechanics Of Solids : http://amzn.to/2x9kXyj (Affiliate) ►Engineering Mechanics Of Solids : http://amzn.to/2wkvJnN (Affiliate) ►Engineering Mechanics By Hibbeler : http://amzn.to/2xpMsTI (Affiliate) ===================================================== Share, Support & Subscribe..!! If you enjoyed this video..., please LIKE, SHARE and make your valuable COMMENT on my videos. Also, give SUGGESTIONS for next videos that you want from my side..., I really appreciate it..., as I plan to make videos every week. ===================================================== Connect with me..!! ■ Youtube: http://www.youtube.com/c/DrChiragNPatel ■ Twitter: http://www.twitter.com/cnpatel693 ■ Facebook: http://www.facebook.com/DrChiragNPatel ■ Google Plus: https://plus.google.com/+DrChiragNPatel ■ Email: [email protected] ===================================================== About..!! Dr. Chirag N. Patel is a YouTube Channel, where you will find videos based on various engineering technology, as well as lectures related to civil engineering discipline and many more…, New Video is Posted in very short time frame. #Vector #VectorMechanics #SolidMechanics
Views: 1400 Dr. Chirag N. Patel
Calculus III: The Cross Product (Level 1 of 9) | Geometric Definition
 
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This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the geometric definition of the cross product. #calculus3 #math #school Have a math question? Join our Simor.org class and get your questions answered for free! Geometry: https://www.simor.org/user/35492/math_fortress/rooms/35492-geometry Calculus I: https://www.simor.org/user/35492/math_fortress/rooms/35492-calculus-i-differential-calculus Calculus II: https://www.simor.org/user/35492/math_fortress/rooms/35492-calculus-ii-integral-calculus Calculus III: https://www.simor.org/user/35492/math_fortress/rooms/35492-calculus-iii-multivariable-calculus ►Website, Worksheets and Equation Sheets◄ http://www.mathfortress.com/ ►Watch Videos Ad Free!◄ Udemy: http://www.udemy.com/u/mathfortress/ Curious.com : https://curious.com/?ref=FebpNqD89ZA SkillShare: https://www.skillshare.com/r/user/mathfortress Amazon Prime Video: http://a.co/9RSFlgw ►Social Media◄ Facebook: http://www.facebook.com/MathFortress Twitter: https://twitter.com/MathFortress Google+: https://plus.google.com/+MathFortresss Pinterest: http://pinterest.com/mathfortress/ Tumblr: http://mathfortress.tumblr.com/ ►Donate (Help Strengthen the Fortress!)◄ Patreon: https://www.patreon.com/MathFortress PayPal: https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=AH6HCHUED4H9C Bitcoin: 16NaDKvXa25TuQQ9813CtoWHGrn4g7urQp Bitcoin Cash: 12TvhGQk1wATXpoQcDJCa7Yc9UAnks91Kk Ethereum: 0x99d0295e78147b920fE493cC876a74fBC53EECB7 Litecoin: LdvzBC4nTx1ERu6QwbhVaBU4n1UPYs2jME
Views: 18600 Math Fortress
14. Physics | Basics of Vectors | Vector Product of Vectors | by Ashish Arora
 
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http://www.physicsgalaxy.com Learn complete Physics Video Lectures on Basics of Vectors for IIT JEE by Ashish Arora. This is the most comprehensive website on Physics covering all the topics in detail. No wonder, in its trial run itself, this one of its kind website topped the world ranking on Physics learning. To keep yourself updated about physics galaxy activities on regular basis follow the facebook page of physics galaxy at https://www.facebook.com/physicsgalaxy74 The website, aimed at nurturing grasping power students, has classroom lectures on almost all the topics. It is an outcome of 23-year long toil of Physics expert who has made it a mission to simplify the complexities of Physics. Ashish Arora, the brain behind this interactive unique website, has all his lectures available on web for free of cost. He has created a youtube channel in the name of Physics Galaxy. Today more than 6000 video lectures are being watched per day on this website which is highest among any other e-learning website in India. Till now more than 3.6 Million videos are watched on it. On each video subtitles are also available in 67 languages using google translator including English, Hindi, Chinese, French, Marathi, Bangla, Urdu and other regional and international languages. Besides uploading transcripts of all his videos, he has created a software based synchronized European voice accent of all videos to benefit students in USA, Europe and other countries. Reference link of this video is at http://www.youtube.com/watch?v=ZFPMahg1QIg
Views: 9551 Physics Galaxy
Find the Cross Product of Two Vectors | Definition | Examples
 
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Check out us at:http://math.tutorvista.com/calculus/cross-product.html Cross Product of Two Vectors The product of vector is also called as cross product in math. This is binary operation and the new vector is produced by the cross product of two vectors. The new vector is perpendicular to the other vectors. We can represent the cross product by the symbol 'x'. Consider the cross product as A x B. Please like our facebook page http://www.facebook.com/tutorvista Follow us at: https://plus.google.com/+tutorvista
Views: 5375 TutorVista
Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy
 
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Defining and understanding what it means to take the product of a matrix and a vector Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/introduction-to-the-null-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-3?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 238584 Khan Academy
Cross products | Essence of linear algebra, Chapter 10
 
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This covers the main geometric intuition behind the 2d and 3d cross products. *Note, in all the computations here, I list the coordinates of the vectors as columns of a matrix, but many textbooks put them in the rows of a matrix instead. It makes no difference for the result, since the determinant is unchanged after a transpose, but given how I've framed most of this series I think it is more intuitive to go with a column-centric approach. Full series: http://3b1b.co/eola Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 357774 3Blue1Brown
Dot product (Scalar Product ) of two vectors| CBSE 12 Maths NCERT 10.3 intro
 
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I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
Views: 164904 cbseclass videos
Vectors - The Dot Product
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! For more FREE math videos, visit http://PatrickJMT.com !! Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.
Views: 856367 patrickJMT
Vector triple product expansion (very optional) | Vectors and spaces | Linear Algebra | Khan Academy
 
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A shortcut for having to evaluate the cross product of three vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/normal-vector-from-plane-equation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/dot-and-cross-product-comparison-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 174017 Khan Academy
scalar product and vector product of four vectors
 
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WITS (http://www.witsonlineeducation.com) WITS Blog(http://iitjee-aieee-exam.blogspot.com) This video contains a lecture in mathematics on topic 'scalar product and vector product of four vectors' from chapter 'Vectors and application of vectors in 3 dimensional geometry'. Few examples follow the theory. Important for iitjee, aieee and other engineering entrance examination....For more such videos and question papers visit: http://www.witsonlineeducation.com
Views: 6822 WITS onlineeducation
FSC Physics book 1, Ch 2, Product of two Vectors -Inter Part 1 Physics
 
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In this online lecture, Momal Attiq explains fisrt year Physics Chapter no 2 Vector and Equillibrium.The topic being discussed is Topic 2.3 Product of two Vectors. In this video following sub topics have been taught: - Scaler Product - Dot Product punjab text book board/Sindh text book board/KPK text book board inter part 1 physics book 1 lecture is conducted in Urdu/hindi/English. This lecture for Pre Medical / Engineering 11th class for physics chapter no 2 is created for all students who want to prepare this topic in detail. For more videos of Momal Attiq visit https://www.ilmkidunya.com/study/11th-class-physics/vector-and-equillibrium.aspx If you have any questions about this lecture on Physics inter part 1 ch 2, you can go to https://www.instutor.com/11th-class/physics/vector-and-equillibrium
Views: 5222 ilmkidunya
Vector Triple Product - Vectors Part 14
 
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Vector Triple Product - Vectors Part 14 Related: Questions on Vector Triple Product - Vectors Part 15 - https://www.youtube.com/watch?v=YFVRg6NNtRM 16 Geometrical Concept of Vector Triple Product - Vectors Part 16 - https://www.youtube.com/watch?v=6x9vdA3n4qs Triple Product - Vectors Part 12 - https://www.youtube.com/watch?v=Opg7zax-qn0 Questions on Triple Product - Vectors Part 13 - https://www.youtube.com/watch?v=5B87eQ7oHRQ Dot Product - Vectors Part 7 - https://www.youtube.com/watch?v=_X7iRcD2Vwg Free video lectures for Engineering Entrance Exams like IIT JEE and others in English/Hindi. We have about 1000 videos and 150 hours of content on Physics, Chemistry and Mathematics for the session of 2018-2019. Please subscribe to our channel :)
Dot and cross product comparison/intuition | Vectors and spaces | Linear Algebra | Khan Academy
 
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Dot and Cross Product Comparison/Intuition Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-relationship-between-cross-product-and-sin-of-angle?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 242054 Khan Academy
Scalars, Vectors, and Pseudo Vectors and Scalars
 
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A brief explanation at the differences between scalars, vectors, and their corresponding pseudo- versions. What they mean practically with some real world examples.
Views: 6391 David Foster
Dot product of two vectors: Example
 
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Learn via an example what is the dot product of two vectors. For more videos and resources on this topic, please visit http://ma.mathforcollege.com/mainindex/02vectors/
Views: 10741 numericalmethodsguy
Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy
 
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Definitions of the vector dot product and vector length Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proving-vector-dot-product-properties?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-algebra-basis-of-a-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 648244 Khan Academy
Dot Product and Scalar Product of Vectors, Physics
 
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The super easy and quick concept of Dot product of vectors or dot multiplication of vectors or scalar multiplication of vectors is explained in this video. The video covers all about the dot product and scalar produc of vectors. I will also tell you about: 1) Dot Product and Scalar Product of Vectors, Physics. 2) Physics - Mechanics: Vectors (12 of 21) Product Of Vectors: Dot Product 3) The Dot Product. 4) Class 12 Maths : Vectors - Dot product ( Scalar product ) Part 1. 5) Scalar Product or Dot Product (Hindi). 6) Cross Product and Dot Product: Visual explanation. 7) Dot vs. cross product | Physics | Khan Academy Dot product of vectors or scalar product of vectors is the multiplication of two or more vectors. Dot product or scalar product of two vectors always give us a number. a scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them. The Dot Product gives a number as an answer (a "scalar", not a vector). The Dot Product is written using a central dot: a · b This means the Dot Product of a and b We can calculate the Dot Product of two vectors this way: dot product magnitudes and angle a · b = |a| × |b| × cos(θ) Where: |a| is the magnitude (length) of vector a |b| is the magnitude (length) of vector b θ is the angle between a and b he dot product between two vectors is based on the projection of one vector onto another. Let's imagine we have two vectors aa and bb, and we want to calculate how much of aa is pointing in the same direction as the vector bb. We want a quantity that would be positive if the two vectors are pointing in similar directions, zero if they are perpendicular, and negative if the two vectors are pointing in nearly opposite directions. We will define the dot product between the vectors to capture these quantities. But first, notice that the question “how much of aa is pointing in the same direction as the vector bb” does not have anything to do with the magnitude (or length) of bb; it is based only on its direction. (Recall that a vector has a magnitude and a direction.) The answer to this question should not depend on the magnitude of bb, only its direction. To sidestep any confusion caused by the magnitude of bb, let's scale the vector so that it has length one. In other words, let's replace bb with the unit vector that points in the same direction as bb. We'll call this vector uu, which is defined by u=b∥b∥. u=b∥b∥. The dot product of aa with unit vector uu, denoted a⋅ua⋅u, is defined to be the projection of aa in the direction of uu, or the amount that aa is pointing in the same direction as unit vector uu. Let's assume for a moment that aa and uu are pointing in similar directions. Then, you can imagine a⋅ua⋅u as the length of the shadow of aa onto uu if their tails were together and the sun was shining from a direction perpendicular to uu. By forming a right triangle with aa and this shadow, you can use geometry to calculate that a⋅u=∥a∥cosθ,(1) (1)a⋅u=∥a∥cos⁡θ, where θθ is the angle between aa and uu. (Najam Academy is Free Online Educational Academy that provides Free and quality Education. Najam Academy is providing best and conceptual tutorials of Physics, Maths, Chemistry and Biology. The aim of Najam Academy is to provide Free Education to everyone and everyone should have access to Quality Education. The Academy is covering the syllabus of High School and College.
Views: 4570 NAJAM ACADEMY
Application of Cross product of vectors - Mathematics for Engineers - Vectors - TU Delft
 
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The cross product of vectors has important applications in physics and mathematics. This video shows how you to calculate the volume of a parallelepiped and to calculate torque using the cross product.This video is part of a mini course on vectors for students of the TU Delft following mechanics courses.
Views: 2755 Vectors mini course
Physics - Scalar Quantity and Vector Quantity
 
02:23
Watch this video to know more about Scalar and Vector Quantities. Don’t Memorise brings learning to life through its captivating FREE educational videos. To Know More, visit https://DontMemorise.com New videos every week. To stay updated, subscribe to our YouTube channel : http://bit.ly/DontMemoriseYouTube Register on our website to gain access to all videos and quizzes: http://bit.ly/DontMemoriseRegister Subscribe to our Newsletter: http://bit.ly/DontMemoriseNewsLetter Join us on Facebook: http://bit.ly/DontMemoriseFacebook Follow us on Twitter: https://twitter.com/dontmemorise Follow us : http://bit.ly/DontMemoriseBlog
Views: 182669 Don't Memorise
SCALAR TRIPLE PRODUCT OF VECTORS -GEOMETRICAL INTERPRETATION AND PROPERTIES
 
13:29
What is Scalar triple Product of vectors? What is it's geometrical interpretation? What are it's properties? © Copyright 2017, Neha Agrawal. All rights reserved. You can now follow me on FACEBOOK as well. Click on the link- https://www.facebook.com/NehaAgrawalMath/ CALL: +91 9870380964 E-MAIL: [email protected] PLEASE SUBSCRIBE TO MY CHANNEL / FOR ALL MY RESOURCES- http://www.youtube.com/c/NehaAgrawalMathematicallyInclined PLAYLIST FOR RELATIONS AND FUNCTIONS https://www.youtube.com/playlist?list=PLTa2m6WeLW_9i-1xiAwZ23U57vRobeJ0J PLAYLIST FOR MATH SHORTCUTS/TRICKS/MATH QUICKIES https://www.youtube.com/playlist?list=PLTa2m6WeLW__YWn9A-op9wedK7kD_zTFt PLAYLIST FOR THREE DIMENSIONAL GEOMETRY https://www.youtube.com/playlist?list=PLTa2m6WeLW_-mhXBuPcd93jPGLDSjxSks PLAYLIST FOR PROBABILITY https://www.youtube.com/playlist?list=PLTa2m6WeLW_8FXXvlcbS5cbx9ZLjDJMGi PLAYLIST FOR INTEGRATION https://www.youtube.com/playlist?list=PLTa2m6WeLW_8ZHPXS1YIbweyg35ytmByS PLAYLIST FOR APPLICATION OF DERIVATIVES https://www.youtube.com/playlist?list=PLTa2m6WeLW__9QqBNd9RT9FDHs9x6z3p6 PLAYLIST FOR DIFFERENTIATION/DERIVATIVES https://www.youtube.com/playlist?list=PLTa2m6WeLW_8TLgSrV-g1NOzViEfZGIdY PLAYLIST FOR CONTINUITY https://www.youtube.com/playlist?list=PLTa2m6WeLW_8KsyD5M3LoY9YxMMcRok75 PLAYLIST FOR MATRICES https://www.youtube.com/playlist?list=PLTa2m6WeLW_9J9Jif5iQMFZ5aaGymwk-M PLAYLIST FOR INVERSE TRIGONOMETRIC FUNCTIONS https://www.youtube.com/playlist?list=PLTa2m6WeLW_-esFJBOyg225Dh-9wQi_D6 DETERMINANTS https://youtu.be/bnaKGsLYJvQ To find Determinant of a 2X2 and 3X3 matrix LIKE SHARE AND SUBSCRIBE!
Cross product, determinant method
 
03:32
Description
Views: 86320 General Physics - Lowe
Cross product of vectors - Mathematics for Engineers - Vectors - TU Delft
 
06:51
How to multiply vectors? You can multiply vectors and find a perpendicular vector by using the cross product. This video shows you the Amsterdam method to calculate the cross product and teaches you the right hand rule to determine the direction of the resulting vector. This video is part of a mini course on vectors for students of the TU Delft following mechanics courses.
Views: 5980 Vectors mini course
Multiplying a vector by a scalar | Vectors and spaces | Linear Algebra | Khan Academy
 
05:44
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-vector-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/adding-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 484553 Khan Academy
Understanding multiplying vectors by scalars
 
05:42
Understanding multiplying vectors by scalars
Views: 87066 Khan Academy
Find the cross-product of two vectors (Easy Method)
 
02:24
This is my easy, matrix-free method for finding the cross product between two vectors. If you want to go farther in math, you should know the matrix bit of this too.
Views: 187577 mroldridge
Proving vector dot product properties | Vectors and spaces | Linear Algebra | Khan Academy
 
10:45
Proving the "associative", "distributive" and "commutative" properties for vector dot products. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-of-the-cauchy-schwarz-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-dot-product-and-vector-length?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 305858 Khan Academy
Meaning of dot product
 
09:41
Views: 52584 Shridhar Jagtap
Dot Product : Find Angle Between Two Vectors , Another Example
 
02:07
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Dot Product : Find Angle Between Two Vectors. Here I do another quick example of using the dot product to find the angle between two vectors.
Views: 328497 patrickJMT
Vectors Physics - Addition, Subtraction, Dot & Cross Product, Resultant Force Magnitude & Direction
 
01:53:07
This physics video tutorial shows you how to add or subtract vectors to calculate the magnitude and direction / angle of the resultant force vector ad how to perform operations such as the dot product and cross product of two vectors. This video contains plenty of examples and practice problems. Here is a list of topics covered in this video: 1. How To Add or Subtract Two Vectors Graphically 2. Head to Tail Method of Vector Addition & Subtraction 3. Adding & Subtracting Vectors Using The Parallelogram Law 4. How To Add Vectors Analytically or Algebraically 5. Parallel & Perpendicular Addition of Vectors - Right Triangle 6. How To Find The Resultant of Two or Three Vectors 7. How To Find The Magnitude & Direction of The Resultant Force 8. Reference Angle & The Vector Angle Measured From The Positive X Axis 9. How To Find The Components of a Vector - X and Y Component or Fx and Fy From F - Magnitude & Theta - Direction Angle 10. How To Represent a Vector in Cartesian Notation - ijk 11. How To Add or Subtract Two Vectors in Cartesian Notation 12. The Scalar Multiplication of Two Vectors - Dot Product 13. How To Find The Dot Product of Two Vectors in 2D and 3D 14. How To Find The Dot Product Using The Magnitude of Two Vectors and The Angle Between Them 15. How To Calculate The Magnitude of a vector 16. How To Find The Angle Between Two Vectors Using Inverse Tangent & The Dot Product 17. Work = Force x Displacement x cosine theta - an example of the dot product in real life physics: W=FDcosx 18. How To Tell If Two Vectors Will be Orthogonal or Perpendicular 19. How To Find The Angle Between Two 3 dimensional vectors Using The Dot Product 20. The Cross Product of Two Vectors To Produce a New Vector 21. Proving The Cross Multiplication of Two Vectors Creates a New Vector That's Perpendicular To Both Original Vectors 22. Cross Product Example: F = BqV sinx or Magnetic Force = Magnetic Field x Charge x Velocity x sine (theta) 23. Centripetal Force & Circular Motion of a Proton in a Magnetic Field 24. How To Find The Cross Product of Two Vectors Using Cartesian Vector Notation 25. How To Find The Cross Product Using The Magnitude of Two Vectors and The Angle Between Them 26. How To Find The Resultant Vector Using Vector Notation 27. How To Find The Resultant Force Vector Using The Law of Cosines 28. How To Find The Coordinate Direction Angles of a three dimensional Vector 29. Unit Vector Notation - How To Find The Unit Force Vector
How to find Cross Product and the Direction of vectors #5
 
06:49
Finding Cross Product of 2 vectors and the direction of the resultant vector is very easy, provided one understands the simple cork screw rule. FOR ONLINE TUTORIALS BY ME: Please write to [email protected] Please also indicate (a) Your class (11th, 12th, High School etc.) (b) Preferred time slot for tutorial MORE PROBLEMS & SOLUTION: https://goo.gl/dD8bJb SUBSCRIBE TO "THE SCIENCE CUBE": https://goo.gl/eKiXTp Visit Face Book: https://www.facebook.com/The-Science-Cube-239934139745013/ In this lesson, find how cross product is calculated and how it differs from dot product. The cross product of 2 vectors f and g is defined in three-dimensional space only and is expressed as f × g. Cross product a × b is defined as a vector c that is perpendicular to both a and b, and has direction given by the cork screw rule or the right-hand rule and a magnitude is the area of the parallelogram that the vectors make ABOUT "THE SCIENCE CUBE" Physics tutorials for class 11, 12 and AP level with "Solved Numerical problems" (NCERT, AP level and IIT-JEE level) Physics for class 11 and 12 is a significant step-up from class 10. Rushing into understanding topics like circular motion, electricity, "moment of inertia" etc. can leave a student disliking the subject over a period of time. "The Science Cube" has come about from my experience of teaching my daughter over the years and how intricate topics like "integral calculus", vectors, magnetism etc. are absorbed by young students. I really hope that this channel can make the students appreciate the subject and help them ace their exams. Vishesh Nigam
Views: 1761 The Science Cube
What is the definition of the dot product of two vectors?
 
02:00
Learn what is the definition of the dot product of two vectors. For more videos and resources on this topic, please visit http://ma.mathforcollege.com/mainindex/02vectors/
Views: 813 numericalmethodsguy
1.3 Orthogonal Vectors
 
04:22
http://www.rootmath.og | Linear Algebra The definition of orthogonal: Two vectors are orthogonal when their dot product is zero.
Views: 109896 rootmath
Normal vector from plane equation | Vectors and spaces | Linear Algebra | Khan Academy
 
09:58
Figuring out a normal vector to a plane from its equation Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/point-distance-to-plane?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 459745 Khan Academy
1. What is Vector Quantity (Hindi)
 
08:19
Vector & Scalar quantities, Vector notation & equality of vectors
Views: 236988 The Lighthouse
Scalars and Vectors Physics Video - Scalar vs Vector Quantities Explained, Examples
 
11:21
This scalars and vectors physics video tutorial explains how to distinguish a scalar quantity from a vector quantity. It gives plenty of examples of scalar quantities and vector quantities. Mass, temperature, volume, distance, and speed are all scalar quantities while velocity, displacement, force, and acceleration are all vector quantities. A scalar quantity has magnitude only while a vector quantity can be described in terms of magnitude and direction. New Physics Video Playlist: https://www.youtube.com/playlist?list=PL0o_zxa4K1BU6wPPLDsoTj1_wEf0LSNeR Access to Premium Videos: https://www.patreon.com/MathScienceTutor
8.01x - Lect 3 - Vectors - Dot Products - Cross Products - 3D Kinematics
 
49:33
Vectors - Dot Products - Cross Products - 3D Kinematics - Great Demos Assignments Lecture 1, 2, 3 and 4: http://freepdfhosting.com/614a811c6d.pdf Solutions Lecture 1, 2, 3 and 4: http://freepdfhosting.com/90c2930d13.pdf
Vector Cross Product: Orthogonal Unit Vectors
 
02:49
This video describes some helpful memory devices for remembering what is the cross product between the vectors in an orthogonal unit basis.
Views: 4821 Adam Leeper
Cross Product of 3D Vectors
 
05:53
Cross Product of 3D Vectors are computed. This video includes how to move a vector from one line of action to another.
Views: 7312 EngineerItProgram
Defining the angle between vectors | Vectors and spaces | Linear Algebra | Khan Academy
 
25:11
Introducing the idea of an angle between two vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-a-plane-in-r3-with-a-point-and-normal-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-vector-triangle-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 367354 Khan Academy
Math 203 Lecture 4 - The dot product and the cross product - part 1
 
01:33:13
In this lecture, we go over a couple homework problems using vectors in a physics context. We then move on to the main lesson. Which begins with the dot product. Last time we learned how to add/subtract and scalar multiply vectors. Some may be wondering what happened to multiplication and division. As it turns out, division is a luxury we often take for granted, we can't divide vectors. (There are cases where we can "multiply by an inverse", which is often seen as equivalent to division, but we cannot do that with the vectors we are studying.) Multiplication, on the other hand, becomes a more sophisticated venture when dealing with vectors. We can multiply, but we won't do it in the "obvious" way, and there are several ways to multiply that give us VERY different kinds of answers. The question is, what do these answers mean, what do they tell us. The first kind of vector product we look at is THE DOT PRODUCT. This is called the scalar product since the dot product of two vectors is actually a scalar result. We go over properties, formulas, and uses of the dot product. We learn an important formula that relates the dot product to the angle between vectors and hence derive the very useful and important fact that: IF THE DOT PRODUCT IS 0, THEN THE VECTORS IN THE PRODUCT ARE ORTHOGONAL (PERPENDICULAR). We then remind ourselves how to find the determinants of square matrices, and use them to define another kind of product--THE CROSS PRODUCT. This is called a vector product since the result of the cross product of two 3D vectors is another 3D vector (it's only defined for 3D vectors). The important thing here is, the result of a cross product is a vector that is orthogonal to BOTH vectors in the product. We go over a few examples of this and also bring up a formula that relates the (magnitude of the) cross product to the angle between the two vectors in the product. We use this to derive that important fact that: IF THE RESULT OF THE CROSS PRODUCT IS THE 0 VECTOR, THEN THE TWO VECTORS ARE PARALLEL. We end the lesson there, but will pick up with this next time.
Views: 1256 Jhevon Smith

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