Question

 Let the angle be the angle that the vector makes with

the measured counterclockwise from that axis. Find

the angle for a vector that has the following components: 

(a)Ax=2.50m, Ay=-0.500m

Answer 1

Given:

$A_x=2.50\:m, \;A_y=-0.500\:m$

The angle that the vector makes with $x$-axis

$$\theta=\tan^{-1}\frac{A_y}{A_x}=\tan^{-1}\frac{-0.500}{2.50}=349^\circ$$