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

Question

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, which has a magnitude of 220 km and points in a direction 32 degree 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 degree east of north. Sketch the vectors A. B. and D = A- B Notice that D is the displacement from plane 2 to plane 1. Draw the vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will be graded. Find the magnitude of the vector D. Express your answer using two significant figures. Find the direction of the vector D. Express your answer using two significant figures.

Explanation / Answer

A = - 186.57 i + 116.58 j B = 126.88 i + 59.166 j D = A - B = 59.69 i + 57.414 j magnitude of D = 82.8206 N direction = 43.88 degrees north of east

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