To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). …

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

Two vectors a and b are drawn below. Choose the illustration that correctly represents the vector addition a + b = c .

Build intuition behind adding and subtracting vectors visually and the "end-to-end" method.

Here is a drawing of vectors a → , b → , and c → . Which equation correctly describes a → in terms of b → and c → ?

Here is a drawing of vectors a → , b → , and c → . Which equation correctly describes the relationship between the vectors?

Learn what vectors are and how they can be used to model real-world situations. Perform various operations with vectors like adding, subtracting, scaling, and conversion between rectangular to polar …

Add two vectors in magnitude and direction form to get a new vector in component form.

Watch Sal determine which diagram represents vector subtraction graphically. Created by Sal Khan.

When analyzing 2D motion, we'll encounter vectors that do not point perfectly along one of the dimensions of our coordinate system. Instead, a vector may point at an angle in our chosen …