Instructional Video11:23
Zach Star

The real world applications of the dot product

12th - Higher Ed
The real world applications of the dot product
Instructional Video9:41
Why U

Algebra 79 - Adding and Subtracting Complex Numbers

12th - Higher Ed
Addition and subtraction of complex numbers can be done arithmetically by adding or subtracting their real parts and separately adding or subtracting their imaginary parts. These operations of complex addition and subtraction can be...
Instructional Video6:32
Flipping Physics

Introduction to Force

12th - Higher Ed
Defining Force. Including its dimensions, demonstrations of force and mass affecting acceleration, showing that a force is an interaction between two objects and contact vs. field forces.
Instructional Video4:18
Professor Dave Explains

Dynamics: What are Forces?

9th - Higher Ed
What's a force? No, not THE force. That's from Star Wars. I'm talking about the forces in the universe that make things move. Yes, I know Yoda moved the X-Wing with The Force. Will you quit it? We are talking about the real universe...
Instructional Video3:35
Professor Dave Explains

Newton's Second Law of Motion: F = ma

9th - Higher Ed
One of the best things about Newton was the way that he showed how natural phenomena abide by rigid mathematical principles. So much so that we can use mathematical equations to calculate how objects will actually behave. This equation,...
Instructional Video
Khan Academy

Khan Academy: Moments, Torque, and Angular Momentum: Cross Product and Torque

9th - 10th
Learn how to find the direction component of torque with this video. Review vector quantities to understand how to apply the right hand rule to a torque problem. [10:00]
Instructional Video
Khan Academy

Khan Academy: One Dimensional Motion: Acceleration

9th - 10th
A video explaining how acceleration is change in velocity over time. Video also includes examples of how to solve for the vector quantity of acceleration. [9:05]
Instructional Video
University of Nottingham

Sixty Symbols: Symbols of Physics and Astronomy: Vectors

9th - 10th
University of Nottingham astronomer Meghan Gray introduces us to a fairly simple physics concept: the vector, defined as "something that has a size and a direction." Learn about everyday vector quantities, such as velocity, acceleration,...
Instructional Video
Sophia Learning

Sophia: Practice W/ Vector Components: Lesson 1

9th - 10th
This lesson provides the learner with example problems on using vector components to combine vectors. It is 1 of 2 in the series titled "Practice w/ Vector Components."
Instructional Video
Khan Academy

Khan Academy: Orthogonal Projections: Projection Is Closest Vector in Subspace

9th - 10th
A video lesson proving that the projection of a vector is actually the closest vector in the subspace to the original vector.
Instructional Video
Khan Academy

Khan Academy: Transpose of a Matrix: Transpose of a Vector

9th - 10th Standards
Transpose of a column vector. Matrix-matrix products using vectors in this video.
Instructional Video
Khan Academy

Khan Academy: Dot and Cross Product Comparison/intuition

9th - 10th Standards
This video gives an intuition of what dot product and cross product represent. Also gives a comparison between cross product and dot product of vectors and how they are related.
Instructional Video
Khan Academy

Khan Academy: Using a Line Integral to Find the Work Done by a Vector Field

9th - 10th
Using a line integral to find the work done by a vector field example.
Instructional Video
Khan Academy

Khan Academy: Derivative of a Position Vector Valued Function

9th - 10th
Video lesson defining the derivative of a position vector valued function by visualizing it and setting it up.
Instructional Video
Khan Academy

Khan Academy: Differential of a Vector Valued Function

9th - 10th Standards
Video lesson reviewing position vector valued functions and their derivatives.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Calculating a Surface Integral Part 3

9th - 10th
This is part 3 of a 3-part video series showing how to calculate the surface integral of a torus.
Instructional Video
Khan Academy

Khan Academy: Surface Integrals: Part 2 Evaluating the Outside Surface

9th - 10th
Part 2 of a 4-part video series solving for the surface integral of a surface made of three separate parts.
Instructional Video
Khan Academy

Khan Academy: Proof of Stokes' Theorem: Stokes' Theorem Proof Part 6

9th - 10th
This is part six of the series of videos about the Stoke's Theorem.
Instructional Video
Khan Academy

Khan Academy: Stokes' Theorem: Orienting Boundary With Surface

9th - 10th
This video lesson shows the proper orientation of the boundary given the orientation of the surface.
Instructional Video
Khan Academy

Khan Academy: Stokes' Theorem: Part 2 Parameterizing the Surface

9th - 10th
This is part two on how to parameterize the surface.
Instructional Video
Khan Academy

Khan Academy: Stokes' Theorem: Stokes' Theorem Intuition

9th - 10th
Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary.
Instructional Video
Khan Academy

Khan Academy: Proof of Stokes' Theorem: Stokes' Theorem Proof Part 5

9th - 10th
This is part five of a series of video about the Stoke's Theorem.
Instructional Video
Khan Academy

Khan Academy: Stokes' Theorem: Stokes Example Part 4 Curl and Final Answer

9th - 10th
Finding the curl of the vector field and then evaluating the double integral in the parameter domain
Instructional Video
Khan Academy

Khan Academy: Proof of Stokes' Theorem: Stokes' Theorem Proof Part 1

9th - 10th
The beginning of a proof of Stokes' theorem for a special class of surfaces.