# Why is torque a vector?

The torque $\setminus \vec{\setminus} \tau$ of a force vector $\setminus \vec{F}$ acting at a point with position vector is $\setminus \vec{{r}_{1}}$ about a point having position vector $\setminus \vec{{r}_{2}}$ is given as
$\setminus \vec{\setminus} \tau = \left(\setminus \vec{{r}_{1}} - \setminus \vec{{r}_{2}}\right) \setminus \times \setminus \vec{F}$