Chapter 3, Problem 42P

In a meeting of mimes, mime 1 goes through a displacement ${\stackrel{\to }{d}}_1$ = (4.0 m) $\hat{i}$ + (5.0 m) $\hat{j}$ and mime 2 goes through a displacement ${\stackrel{\to }{d}}_2$ = (−3.0 m) $\hat{i}$ + (4.0 m) $\hat{j}$. What are (a) ${\stackrel{\to }{d}}_1$ × ${\stackrel{\to }{d}}_2$, (b) ${\stackrel{\to }{d}}_1$ ${\stackrel{\to }{d}}_2$, (c) ( ${\stackrel{\to }{d}}_1$ + ${\stackrel{\to }{d}}_2$) · ${\stackrel{\to }{d}}_2$, and (d) the component of ${\stackrel{\to }{d}}_1$ along the direction of ${\stackrel{\to }{d}}_2$? (Hint: For (d), see Eq. 3-20 and Fig. 3-18.)