Search results “Define vector product of vectors”

Visual interpretation of the cross product and the dot product of two vectors.
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Physics Videos by Eugene Khutoryansky

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.
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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.
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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.

Views: 42848
The Organic Chemistry Tutor

This is part of the Introduction to Electrodynamics series. Here, I compare the dot and cross products of two vectors from a geometric perspective.

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Real Physics

This video explains cross product or vector product of two vectors.

Views: 138346
cbseclass videos

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

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patrickJMT

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.
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Khan Academy

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:
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All the best...
Vande Matram

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Jaipal Vishwakarma

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
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Khan Academy

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.
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Dr. Chirag N. Patel

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.
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Math Fortress

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

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.
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TutorVista

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?
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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.
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Khan Academy

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.
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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
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3Blue1Brown

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

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cbseclass videos

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

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
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Khan Academy

WITS (http://www.witsonlineeducation.com)
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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

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WITS onlineeducation

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

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ilmkidunya

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 :)

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Education and Career Videos

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.
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Views: 242054
Khan Academy

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

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

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
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Views: 648244
Khan Academy

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∥cosθ,
where θθ is the angle between aa and uu.
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NAJAM ACADEMY

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

Watch this video to know more about Scalar and Vector Quantities.
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Don't Memorise

What is Scalar triple Product of vectors? What is it's geometrical interpretation? What are it's properties?
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Neha Agrawal Mathematically Inclined

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

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.
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Views: 484553
Khan Academy

Understanding multiplying vectors by scalars

Views: 87066
Khan Academy

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 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

Views: 52584
Shridhar Jagtap

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

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

Views: 153814
The Organic Chemistry Tutor

Finding Cross Product of 2 vectors and the direction of the resultant vector is very easy, provided one understands the simple cork screw rule.
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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
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Views: 1761
The Science Cube

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

http://www.rootmath.og | Linear Algebra
The definition of orthogonal: Two vectors are orthogonal when their dot product is zero.

Views: 109896
rootmath

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

Vector & Scalar quantities, Vector notation & equality of vectors

Views: 236988
The Lighthouse

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.
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Views: 71024
The Organic Chemistry Tutor

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

Views: 163912
Lectures by Walter Lewin. They will make you ♥ Physics.

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 are computed. This video includes how to move a vector from one line of action to another.

Views: 7312
EngineerItProgram

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

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
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For towns, each building is described, along with what and who can you can talk to, who to buy skills from, and what quests are available. For the outlying areas, the dungeons are listed. Dungeon maps are not given -- they would be too extensive to fit easily into a web page and the automapping in the game is excellent. Also, every dungeon should be explored completely to get all of the loot, but only puzzles and hidden locations are described. I also skip most of the fighting because it isnt something that you can easily describe, nor does it matter in most places, except that you have to survive it. I do list the creatures that you will encounter in a dungeon or grid location to give you an idea of how difficult the location is. Stores are listed with a "buy" and "sell". The "buy" value is multiplied by the items value to determine the price you have to pay for it. The "sell" value is divided by the items value to determine the price you can sell it to the store for. Higher is always worse, and a "buy" or "sell" of 1 means that you are buying/selling an item at cost. Every location has a "reset" timer. This starts when you first enter the area, and after it "goes off", the entire grid square resets: monsters reappear and random treasure is replaced. Nonrandom treasure (including most stat-gaining liquids) is not replaced. All dungeons have a reset of 2 years (24 months), unless otherwise noted. Overland areas have reset times listed with their descriptions. Artifacts are unique items that can be found. They come in two flavors: Minor artifacts are always benificial and have a value of 20000gp. Major artifacts always have a drawback, but their benificial powers are much stronger. They have a value of 30000gp. There are 15 minor and 15 major artifacts -- some of these artifacts are placed at specific locations; others are randomly generated. Table of Contents.