Question

Vector A→has a magnitude of 82 units and points due west, while vector B→ has the same magnitude and points due south. Find the magnitude and direction of (a)  A→+B→ and (b)  A→-B→. Specify the directions relative to due west.

Answer 1

(a):

$$R=|\vec A+\vec B|=\sqrt{A^2+B^2}=116\text{ km SW}.$$

(b):

$$R=|\vec A-\vec B|=\sqrt{A^2+B^2}=116\text{ km NW}.$$