Chapter 1, Problem 23P

(a) Two workers are trying to move a heavy crate. One pushes on the crate with a force  $\stackrel{\to }{A}$ , which has a magnitude of 445 newtons and is directed due west. The other pushes with a force  $\stackrel{\to }{B}$ , which has a magnitude of 325 newtons and is directed due north. What are the magnitude and direction of the resultant force  $\stackrel{\to }{A}+\stackrel{\to }{B}$  applied to the crate?
(b) Suppose that the second worker applies a force  $-\stackrel{\to }{B}$  instead of  $\stackrel{\to }{B}$ . What then are the magnitude and direction of the resultant force  $\stackrel{\to }{A}-\stackrel{\to }{B}$  applied to the crate? In both cases express the direction relative to due west.