Add the vector A to the vector B shown in Figure 3.31, using perpendicular components along the x- and y-axes. The x- and y-axes are along the east-west and north-south directions, respectively. Vector A represents the first leg of a walk in which a person walks 53.0 m in a direction 20.0° north of east. Vector B represents the second leg, a displacement of 34.0 m in a direction 63.0° north of east.

Strategy
The components of and along the x- and y-axes represent walking due east and due north to get to the same ending point. Once found, they are combined to produce the resultant.

W ZA N + S E y A+B=R 0 = 36.6 R A 0A = 20.0 B B = 34.0 m 0B = 63.0 A = 53.0 m X