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

  • A
    $11 \hat{i} + 19 \hat{j} - 4 \hat{k}$
  • B
    $-11 \hat{i} + 9 \hat{j} - 16 \hat{k}$
  • C
    $-17 \hat{i} + 19 \hat{j} - 4 \hat{k}$
  • D
    $17 \hat{i} + 9 \hat{j} + 16 \hat{k}$

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