Find the torque of a force vec F = -3hat i + | vedclass

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Question

$\vec{	au}=\vec{r} 	imes \vec{F}$

$=\left|\begin{array}{ccc}{\hat{i}} & {\hat{j}} & {\hat{k}} \ {7} & {3} & {1} \ {-3} & {1}

Vedclass · Accepted Answer

$14\hat i - 38\hat j +16\hat k$

Vedclass · Answer

$\vec{	au}=\vec{r} 	imes \vec{F}$

$=\left|\begin{array}{ccc}{\hat{i}} & {\hat{j}} & {\hat{k}} \ {7} & {3} & {1} \ {-3} & {1} & {5}\end{array}ight|=\hat{i}(15-1)-\hat{j}(35+3)+\hat{k}(7+9)$

$=14 \hat{i}-38 \hat{j}+16 \hat{k}$

Find the torque of a force $\vec F = -3\hat i + \hat j + 5\hat k$ acting at the point $\vec r = 7\hat i + 3\hat j + \hat k$ with respect to origin

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