Find the torque about the origin when a force of $3\hat{j} ext{ N}$ acts on a particle whose position vector

Question

Find the torque about the origin when a force of $3\hat{j} 	ext{ N}$ acts on a particle whose position vector is $2\hat{k} 	ext{ m}$.

Accepted Answer

The torque $\vec{	au} = \vec{r} 	imes \vec{F}$. Given $\vec{r} = 2\hat{k} 	ext{ m}$ and $\vec{F} = 3\hat{j} 	ext{ N}$. Thus, $\vec{	au} = 2\hat{k} 	imes 3\hat{j} = 6(\hat{k} 	imes \hat{j}) = 6(-\hat{i}) = -6\hat{i} 	ext{ Nm}$.

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