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If \( \vec{F} \) is the force acting on a particle having position vector \( \vec{r} \) and \( \vec{\tau} \) be the torque of this
\( \mathrm{P} \) force about the origin, then:-

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(1) \( \vec{r} \cdot \vec{\tau}=0 \) and \( \vec{F} \cdot \vec{\tau} \neq 0 \)
(2) \( \vec{r} \cdot \vec{\tau} \neq 0 \) and \( \vec{F} \cdot \vec{\tau}=0 \)
(3) \( \vec{r} \cdot \vec{\tau}0 \) and \( \vec{F} \cdot \vec{\tau}0 \)
(4) \( \vec{r} \cdot \vec{\tau}=0 \) and \( \vec{F} \cdot \vec{\tau}=0 \)
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