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A force of $- F \hat{k}$ acts on O, the origin of the coordinate system. The torque about the point (1, -1) is

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$- F (\hat{i} - \hat{j})$

$F (\hat{i} - \hat{j})$

$- F (\hat{i} + \hat{j})$

$F (\hat{i} + \hat{j})$

answer is C.

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Detailed Solution

$\vec{r} = 0 \hat{i} + 0 \hat{j} - \hat{i} + \hat{j} \begin{array}{l} = - \hat{i} + \hat{j} \\ \bar{τ} = (- \hat{i} + \hat{j}) x - F \hat{k} = - F \hat{j} - F \hat{i} \\ = - F (\hat{i} + \hat{j}) \end{array}$

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