Khan Academy
Khan Academy: Proof of Stokes' Theorem: Stokes' Theorem Proof Part 2
This is part two of the video series proving the Stokes' Theorem.
Khan Academy
Khan Academy: Displacement, Velocity & Time: Vectors & Scalars
Watch this tutorial about distance, displacement, speed and velocity. Find out the difference between vectors and scalars. [8:38]
Khan Academy
Khan Academy: Electricity and Magnetism: Cross Product 2
Video lecture provides a little more intuition on the cross product. [10:53]
Khan Academy
Khan Academy: Calculating Average Velocity or Speed
Video lecture provides an example of calculating speed and velocity. [11:46]
Khan Academy
Khan Academy: Orthogonal Complements: Dim(v) + Dim(orthogonal Complement of V)=n
Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n
Khan Academy
Khan Academy: Electricity and Magnetism: Cross Product 1
A video lecture that introduces how to do the cross product. Understand how crossing two vectos produces a third vector. [10:03]
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: The Parallelogram Rule
A video tutorial on how to use the parallelogram rule to combine vectors. Tutorial gives step-by-step instruction with an example of the process of adding vectors. [4:11]
Khan Academy
Khan Academy: Linear Transformation Examples: Unit Vectors
What unit vectors are and how to construct them.
Khan Academy
Khan Academy: Two Dimensional Projectile Motion: Unit Vector Notation
Learn how to add the components of vectors with this video lecture. Step-by-step solutions to these types of problems are given. [9:53]
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]
National Science Foundation
National Science Foundation: Science of Nfl Football: Vectors
Learn how vectors can be used to analyze an NFL quarterback's football pass by calculating how much speed and direction are required to complete it. [3:58]
Khan Academy
Khan Academy: Components of Vectors
Explains how to find the x- and y-components of a vector given its graph. [3:17]
Khan Academy
Khan Academy: Ap Physics 1 Review of 2 D Motion and Vectors
A review video of 2D motions and vector topics that were focused on during AP Physics I. Each topic includes a review of concepts as well as example problems. [13:00]
Khan Academy
Khan Academy: Vector Addition
This video [2:02] focuses on every force in our particle system to be represented with a vector.
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.
Khan Academy
Khan Academy: 3 D Curl Intuition, Part 2
Continuing the intuition for how three-dimensional curl represents rotation in three-dimensional fluid flow.
Khan Academy
Khan Academy: 3 D Curl Formula, Part 2
This finishes the demonstration of how to compute three-dimensional curl using a certain determinant.
Khan Academy
Khan Academy: 3 D Curl Formula, Part 1
How to compute a three-dimensional curl, imagined as a cross product of sorts.
Khan Academy
Khan Academy: 3 D Curl Computation Example
A worked example of a three-dimensional curl computation.
Khan Academy
Khan Academy: 2 D Curl Nuance
The meaning of positive curl in a fluid flow can sometimes look a bit different from the clear cut rotation-around-a-point examples discussed in previous videos.
Khan Academy
Khan Academy: 2 D Curl Intuition
A description of how vector fields relate to fluid rotation, laying the intuition for what the operation of curl represents.
Khan Academy
Khan Academy: 2 D Curl Formula
Here we build up to the formula for computing the two-dimensional curl of a vector field, reasoning through what partial derivative information corresponds to fluid rotation.