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JEE · NEET Previous Year Question

$The torque of the force F = (2 i - 3 j + 4 k) N acting at the point r = (3 i + 2 j + 3 k) m about the origin be$

Topic: NEET PYQ

Answer: B. Full step-by-step solution below.

A $6 i - 6 j + 12 k$
B $17 i - 6 j - 13 k$
C $- 6 i + 6 j - 12 k$
D $- 17 i + 6 j + 13 k$

Correct answer: B

Solution

(b) τ = r \times F = (ij k 3232 - 34) = ((2 \times 4) - (3 \times - 3)) i + ((2 \times 3) - (3 \times 4)) j + ((3 \times - 3) - (2 \times 2)) k = 17 i - 6 j - 13 k

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