Question

Given the vectors v=-2i+5j and w=3i+4j, determine

1. (1/2)v

2. W-v

3. length of W

4. the unit vector for v

Answer 1

1. take 1/2 of the numbers in front of the letters for v.
2. subtract like parts... w - v = <w_i - v_i, w_j - v_j>
3. length is using the pythagorean theorem (in a way)... length = sqrt[ (# with i)^2 + (# with j)^2 ]
4. unit vectot is just the vector divided by it's length