The torque due to the force $(2 \hat{i}+\hat{j}+2 \hat{k})$ about the origin, acting on a particle whose position vector is $(\hat{i}+\hat{j}+\hat{k})$, would be

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$\begin{aligned} 	au & =\dot{r} 	imes \dot{F} \ 	au & =\left|\begin{array}{lll}\hat{i} & \hat{j} & \hat{k} \ 1 & 1 & 1 \ 2 & 1 & 2\end{array}ight| \ 	au & =\hat{i}(2-1)-\hat{j}[0]+\hat{k}(1-2) \ & =\hat{i}-\hat{k}\end{aligned}$

The torque due to the force $(2 \hat{i}+\hat{j}+2 \hat{k})$ about the origin, acting on a particle whose…

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