Brightstorm
The Geometric Representation of Vectors - Concept
What do you get when you cross a mosquito with a mountain climber? Nothing, you can't cross a vector and a scalar. The first video offers an explanation for how a geometric representation of vectors is helpful when adding and can be used...
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: 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]
Math TV
Math tv.com: Vectors: An Algebraic Approach
The video tutorial investigates vectors from an algebraic point of view. A worksheet consisting of practice problems and solutions is included to check for understanding of the concept. In the left hand menu, click on Trigonometry,...
Bozeman Science
Bozeman Science: Vector Field
Paul Andersen explains how a vector field shows the distribution of vector quantities. [7:47]
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: Vector Dot and Cross Products: Cross Product Introduction
This video ha an introduction to the cross productand gives examples of finding it.
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: Differential of a Vector Valued Function
Video lesson reviewing position vector valued functions and their derivatives.
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: Average Velocity & Sign Notation: Lesson 1
This lesson explains how average velocity can be represented by a positive or negative sign. It is 1 of 2 in the series titled "Average Velocity & Sign Notation." [6:44]
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.
Khan Academy
Khan Academy: Displacement, Velocity and Time: Solving for Time
A simple example of solving for time given the distance and rate. [9:34]
PatrickJMT
Patrick Jmt: An Introduction to Vectors Part 1
Tutorial provides an introduction to vectors including magnitude, direction, length, and component form. [4:45]
Khan Academy
Khan Academy: Vector Addition & Magnitude: Magnitude of Vector Sums
Explains some interesting properties of the magnitude of vector sums. [5:30]
Khan Academy
Khan Academy: Components of Vectors
Explains how to find the x- and y-components of a vector given its graph. [3:17]
PatrickJMT
Patrick Jmt: Vectors: Finding Magnitude or Length
Easy to understand tutorial gives the formula and provides a couple examples of finding the magnitude, or length, or a vector. [3:32]
Khan Academy
Khan Academy: 3 D Vector Fields, Introduction
Vector fields can also be three-dimensional, though this can be a bit trickier to visualize.