A Force →F=4^i−10^j acts on a body at a point having position vector −5^i−3^j relative to the origin whose co-ordinates are on the axis of rotation. The torque acting on the body about the origin is
A
38^k
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B
−25^k
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C
62^k
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D
None of these
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Solution
The correct option is C62^k As we know →τ=→r×→F Here →r=−5^i−3^j →F=4^i−10^j ⇒→τ=(−5^i−3^j)×(4^i−10^j) ⇒τ=50(i×^j)−12(j×i) ⇒→τ=50^k−12(−^k) ⇒→τ=62^k