An air traffic controller observes two airplanes approaching the airport. The displacement from the control tower to plane 1 is given by the vector A(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 B >, which has a magnitude of 140 km and points 65° east of north.

(a) Sketch the vectors A(vector), – B(vector), and D(vector) = A(vector) – B(vector). Notice that D(vector) is the displacement from plane 2 to plane 1.

(b) Find the magnitude and direction of the vector D(vector).