An air trafc controller observes two airplanes approaching

Chapter 3, Problem 21

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An air trafc 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 , and . Notice that is the displacement from plane 2 to plane 1. (b) Find the magnitude and direction of the vector .

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