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Question

The torque of a force $5 \hat{i}+3 \hat{j}-7 \hat{k}$ about the origin is $\tau$. If the force acts on a particle whose position vector is $2 i+2 j+k$, then the value of $\tau$ will be

$11 \hat{i}+19 \hat{j}-4 \hat{k}$
$-11 \hat{i}+9 \hat{j}-16 \hat{k}$
$-17 \hat{i}+19 \hat{j}-4 \hat{k}$
$17 \hat{i}+9 \hat{j}+16 \hat{k}$

Solution

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