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

Correct option is 217i^−6j^−13k^

Questions

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

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6i^−6j^+12k^

17i^−6j^−13k^

−6i^+6j^−12k^

−17i^+6j^+13k^

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detailed solution

Correct option is B

τ→ = r→ ×F→ = i^j^k^3232−34= [2×4−(3×−3)]i^+[2×3−3×4]j^+[3×−3−2×2]k^ = 17i^−6j^ −13k^

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

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