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Questions  

The torque of a force  F=2i^3j^+5k^  acting at a point whose position vector  r=3i^3j^+5k^  about the
origin is  [Kerala CEE 2013]

a
−3i^+5k^
b
−5j^+3k^
c
−5j^-3k^
d
3i^−5j^+3k^

detailed solution

Correct option is C

We know that, torque, τ=r×FGiven,  F=2i^−3j^+5k^⇒  r=3i^−3j^+5k^Now,   τ=i^j^k^3−352−35τ=(−15+15) i ^−(15−10) j ^(−9+6)k^τ=0−5j^−3k^⇒ τ=−5j^−3k^

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