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Q.

A force (5i^+7j^−3k^)N acts on a particle at position (i^+j^−k^)m. Find torque of this force on the particle about origin

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a

(4i^+2j^+2k^)N−m

b

(4i^−2j^+2k^)N−m

c

(−4i^+2j^−2k^)N−m

d

(10i^−8j^+12k^)N−m

answer is B.

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Detailed Solution

τ→=r→×F→=i^j^k^11−157−3=i^(−3+7)−j^(−3+5)+k^(7−5)=(4i^−2j^+2k^)N−m
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A force (5i^+7j^−3k^)N acts on a particle at position (i^+j^−k^)m. Find torque of this force on the particle about origin