Chapter 3, Problem 73P

Two vectors are given by $\stackrel{\to }{a}$ = 3.0 $\hat{i}$ + 5.0 $\hat{j}$ and $\stackrel{\to }{b}$ = 2.0 $\hat{i}$ + 4.0 $\hat{j}$. Find (a) $\stackrel{\to }{a}$ × $\stackrel{\to }{b}$, (b) $\stackrel{\to }{a}$ · $\stackrel{\to }{b}$, (c) ( $\stackrel{\to }{a}$ + $\stackrel{\to }{b}$) · $\stackrel{\to }{b}$, and (d) the component of $\stackrel{\to }{a}$ along the direction of $\stackrel{\to }{b}$.