Q.
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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a
170 km
b
137 km
c
119 km
d
140 km
answer is C.
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Detailed Solution
S→=75j^+60cos45∘j^−60sin45∘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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