Vector lines and geometric proofs

What you'll learn

1. 1

   Vectors are like arrows that show movement — they have a direction and a length.

2. 2

   What two things does a vector always have?

3. 3

   Move the arrow to show the vector (3, 2) — that's 3 right and 2 up.

4. 4

   Let's prove that vector a + vector b = vector b + a using a diagram.

5. 5

   If vector a = (2, 1) and vector b = (1, 3), what is a + b?

6. 6

   Add vectors (2, 1) and (1, 3) by dragging the arrows tip-to-tail.

7. 7

   In a geometric proof, what does it mean if two vectors are equal?