Question

Find the resultant of the following two vectors: i) 50 units due east and ii) 100 units 30 north of west.

Answer 1

First, find the components of the resultant:

$$R_E=50-100\cos30°=-71.6,\\ R_N=0+100\sin30°=50.\\ R=\sqrt{R_E^2+R_N^2}=87.3.\\\space\\ \theta=\arctan\frac{R_N}{R_E}=34.9°\text{ North of West.}$$