Answer to Question #244557 in Physics for Asmar

Question

Three displacement vectors of a croquet ball are shown in a Figure, where |A| = 20.0 units, |B| =

40.0 units, and |C|= 30.0 units. Find (a) the resultant in unit–vector notation and (b) the magnitude and direction of the 

resultant displacement.

Answer 1

$$R_x=40\cos{45}+30\cos{315}=49.5\\R_x=20+40\sin{45}+30\sin{315}=27.1\\ R=56.4\\\theta=28.7\degree$$