If $\vec F$ is the force acting on a particle having position vector $\vec r$ and $\vec \tau $ be the torque of this force about the origin, then

  • A

    $\vec r \cdot \vec \tau  = 0$ and $\vec F \cdot \vec \tau  \ne 0$

  • B

    $\vec r \cdot \vec \tau  \ne 0$ and $\vec F \cdot \vec \tau  = 0$

  • C

    $\vec r \cdot \vec \tau  > 0$ and $\vec F \cdot \vec \tau  < 0$

  • D

    $\vec r \cdot \vec \tau  = 0$ and $\vec F \cdot \vec \tau  = 0$

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