In going from one city to another, a car travels 75 km north, 60 km north-west and 20 km east. The magnitude of displacement between the two cities is (take 1/2=0.7)

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170 km

137 km

119 km

140 km

answer is C.

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Detailed Solution

S→=75j^+60cos⁡45∘j^−60sin⁡45∘i^+20i^=(20−60×0.7)i^+(60×0.7+75)j^=−22i^+117j^S=222+1172=484+13689=14173=119km

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