Find the torque of a force 7i^+3j^−5k^ about the origin. The force acts on a particle whose position vector isi^−j^+k^ .

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2i^+12j^−10k^

i^+12j^+10k^

i^+10j^+10k^

2i^+12j^+10k^

answer is D.

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Detailed Solution

It is given the bat r=i^−j^+k^ and F=7i^+3j^−5k^ τ=| i^j^k^1−1173−5 |=(5−3)i^−(−5−7)j^+[3−(−7)]k^ ∴τ=2i^+12j^+10k^ .

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