An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (30.0, 40.0), (bx, -70.0), (-20.0, cy), (-80.0, -70.0).The overall displacement of the four darts has the xy components (-140,-20.0).What are (a) bx and (b) cy? What are the (c) magnitude and (d) angle (relative to the positive direction of the x axis) of the overall displacement?

An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (30.0, 40.0), (bx, -70.0), (-20.0, cy), (-80.0, -70.0).The overall displacement of the four darts has the xy components (-140,-20.0).What are (a) bx and (b) cy? What are the (c) magnitude and (d) angle (relative to the positive direction of the x axis) of the overall displacement?