An electric dipole consists of point charges $-1.0 \, \mathrm{pC}$ and $+1.0 \, \mathrm{pC}$ located at $(0, 0)$ and $(3 \, \mathrm{mm}, 4 \, \mathrm{mm})$ respectively in the $x$–$y$ plane. An electric field $\vec{E} = \left( 1000 \, \mathrm{V/m} \right) \, \hat{i}$ is switched on in the region. Find the torque $\vec{\tau}$ acting on the dipole.