Khan Academy: Adding Vectors Algebraically & Graphically

Watch Sal add two vectors given in magnitude and direction form by breaking them down into components first.

Sal shows how to add vectors by adding their components, then explains the intuition behind adding vectors using a graph.

Watch Sal finish the problem he started in part 1 by converting the sum back to magnitude and direction form.

Determine if two vectors shown on a graph are equivalent. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Video reviews how to use vectors to define a line. Gives an intuitive sense of what a projection is, then explains step-by-step where the formula for projections comes from. Shows an example of calculating a vector projection. [14:37]

Add two vectors in magnitude and direction form to get a new vector in component form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Video lesson solving for the derivatives for a two specific vector-valued functions that describe the same path but have different velocities. [12:45]

Video using the information about unit normal vectors to represent the surface integral for finding flux through a surface in two dimensions in a different way. The video also uses partial derivatives and the second definition of the...

Video lesson using line integrals in a vector field for a path in opposite directions. Gives the intuition and then shows that the results will have opposite signs. [15:51]

Sal demonstrates adding and subtracting rational expressions with like denominators. [3:44]