(a) Two workers are trying to move a heavy crate. One pushes on the crate with a force A(vector), which has a magnitude of 445 new tons and is directed due west. The other pushes with a force B(vector), which has a magnitude of 325 new tons and is directed due north. What are the magnitude and direction of the resultant force A(vector) + B(vector) applied to the crate?

(b) Suppose that the second worker applies a force – B(vector) instead of B(vector). What then are the magnitude and direction of the resultant force A(vector) – B(vector) applied to the crate? In both cases express the direction relative to due west?