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CGP EDU Academic Team
Published on: September 12, 2026
The torque of the force \(\vec{F} = (2\hat{i} - 3\hat{j} + 4\hat{k})\,\mathrm{N}\) acting at the point \vec{r} = (3\hat{i} + 2\hat{j} + 3\hat{k}) m about the origin be
Text Solution
Verified by ExpertsThe correct answer is:
B
\(\vec{\tau} = \vec{r} \times \vec{F}\) \(= \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 3 & 2 & 3 \\ 2 & -3 & 4 \end{vmatrix}\)
\(= [(2 \times 4) - (3 \times -3)] \hat{i} + [(2 \times 3) - (3 \times 4)] \hat{j} + [(3 \times -3) - (2 \times 2)] \hat{k} = 17 \hat{i} - 6 \hat{j} - 13 \hat{k}\)
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