Chapter 3, Problem 74GP

A shopper at the supermarket follows the path indicated by vectors $\stackrel{\to }{\text{A}}$, $\stackrel{\to }{\text{B}}$, $\stackrel{\to }{\text{C}}$, and $\stackrel{\to }{\text{D}}$ in Figure 3-48. Given that the vectors have the magnitudes A = 51 ft, B = 45 ft, C = 35 ft, and D = 13 ft, find the total displacement of the shopper using (a) the graphical method and (b) the component method of vector addition. Give the direction of the displacement relative to the direction of vector $\stackrel{\to }{\text{A}}$.