Two workers are trying to move a heavy crate. One pushes on the crate with a force , which has a magnitude of 584 newtons (N) and is directed due west. The other pushes with a force , which has a magnitude of 413 N and is directed due north. What are (a) the magnitude and (b) direction of the resultant force + applied to the crate? Suppose that the second worker applies a force - instead of . What then are (c) the magnitude and (d) direction of the resultant force - applied to the crate? In both cases express the direction as a positive angle relative to due west.