Khan Academy
Khan Academy: Linear Algebra: Defining the Angle Between Vectors
Video uses the vector triangle inequality and the law of cosines to demonstrate and prove the definition of the angle between vectors. Uses the definition of the angle between vectors to define perpendicular vectors. Shows that the dot...
Khan Academy
Khan Academy: Linear Algebra: Relationship Between Cross Product and Angle Sin
Video proving that the magnitude of the cross product of two vectors is equal to the product of their magnitudes and the sine of the angle between them. [18:09]
Khan Academy
Khan Academy: Linear Algebra: Dot and Cross Product Comparison/intuition
Video first reviews how to find the angle between two vectors, as well as restating the relationship between the cross product and the sine of that angle. Then gives an intuition of what the dot product and the cross product represent....
Khan Academy
Khan Academy: Linear Algebra: Vector Dot Product and Vector Length
Video first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors. Then gives the formula for vector length and gives examples of using...
Khan Academy
Khan Academy: Linear Algebra: Unit Vectors
Video first introduces what a unit vector is. Shows how to construct a unit vector using scalars. Shows notation for unit vectors. [6:59]
Khan Academy
Khan Academy: Linear Algebra: Vector Examples
Video gives examples of vector addition, graphing vectors, multiplying vectors by a scalar and vector subtraction using vectors in R2 and extends to vectors in other dimensions. [25:33]
Sophia Learning
Sophia: Subtracting Vector Components: Lesson 1
This lesson demonstrates how to subtract vector components. It is 1 of 2 in the series titled "Subtracting Vector Components." [10:32]
Sophia Learning
Sophia: Subtracting Vectors Using the Tail to Tip Method: Lesson 2
This lesson demonstrates how to subtract vectors using the tail-to-tip method. It is 2 of 2 in the series titled "Subtracting Vectors Using the Tail-to-Tip Method." [8:42]
Sophia Learning
Sophia: Subtracting Vectors Using the Tail to Tip Method: Lesson 1
This lesson demonstrates how to subtract vectors using the tail-to-tip method. It is 1 of 2 in the series titled "Subtracting Vectors Using the Tail-to-Tip Method." [8:05]
Khan Academy
Khan Academy: Linear Algebra: Defining the Angle Between Vectors
Video shows using the vector triangle inequality and the law of cosines to demonstrate and prove the definition of the angle between vectors. Uses the definition of the angle between vectors to define perpendicular vectors. Shows that...
Khan Academy
Khan Academy: Linear Algebra: Cross Product Introduction
Video explains the vector cross product and gives examples of finding it. Also discusses the usefulness and limitations of vector cross products and its differences from the dot product. [15:47]
Khan Academy
Khan Academy: Linear Algebra: Vector Dot Product and Vector Length
Video first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors. Then gives the formula for vector length and gives examples of using...
Khan Academy
Khan Academy: Vector Dot Product and Vector Length
Definitions of the vector dot product and vector lengthVideo first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors.
Khan Academy
Khan Academy: Electricity & Magnetism: Dot & Cross Products
Calculating the dot and cross products when vectors are presented in their x, y, and z (or i, j, and k) components. [9:47]
Sophia Learning
Sophia: Introduction to Vectors & Scalars
Learn about vectors and scalars in physics, and find out how they are related to distance and displacement. [5:19]
Sophia Learning
Sophia: Subtracting Vector Components
Find out how to subtract vector components by following the example in this video presentation. [7:35]
Khan Academy
Khan Academy: Linear Algebra: Unit Vectors
Video first introduces what a unit vector is. Shows how to construct a unit vector using scalars. Shows notation for unit vectors. [6:59]
Khan Academy
Khan Academy: Linear Transformation Examples: Unit Vectors
What unit vectors are and how to construct them.
PatrickJMT
Patrick Jmt: An Introduction to Vectors Part 1
Tutorial provides an introduction to vectors including magnitude, direction, length, and component form. [4:45]
Other
Math Tutor Dvd: Add & Subtract Vectors Using Components, Part 1
Video tutorial provides step by step examples that show how to add vectors using the x-component and y-components of the vector. [27:08]
Khan Academy
Khan Academy: Adding Vectors in Magnitude & Direction Form (1 of 2)
Watch Sal add two vectors given in magnitude and direction form by breaking them down into components first.
Sophia Learning
Sophia: Subtracting Parallel Vectors: Lesson 2
This lesson demonstrates how to subtract parallel vectors. It is 2 of 2 in the series titled "Subtracting Parallel Vectors."
Sophia Learning
Sophia: Subtracting Parallel Vectors: Lesson 1
This lesson demonstrates how to subtract parallel vectors. It is 1 of 2 in the series titled "Subtracting Parallel Vectors."
