An air traffic controller observes two airplanes approaching the airport. The displacement...

An air traffic controller observes two airplanes approaching the airport. The displacement from, the control tower to plane 1 is given by the vector , which has a magnitude of 220 km and points in a direction 32° north of west. The displacement from the control tower to plane 2 is given by the vector , which has a magnitude of 140 km and points 65° east of north. (a) Sketch the vectors . Notice that is the displacement from plane 2 to plane 1. (b) Find the magnitude and direction of the vector .