Halliday, Resnick & Walker — Vectors: Problem 14

You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (−140 m, 30 m). The x component and y component of your moves are the following, respectively, in meters: (20 and 60), then (\(b_x\) and −70), then (−20 and \(c_y\)), then (−60 and −70). What are (a) component \(b_x\) and (b) component \(c_y\)? What are (c) the magnitude and (d) the angle (relative to the positive direction of the x axis) of the overall displacement?