The figure shows a rectangular, $26-$turn coil of wire, of dimensions $8\mathrm{.}8$ cm by $4\mathrm{.}0$ cm $.$ It carries a current of $0\mathrm{.}12$ A and is hinged along one long side. It is mounted in the $\backslash ($ x y $\backslash )$ plane, at an angle of $\backslash (30^\{\backslash$circ$\}\backslash )$ to the direction of a uniform magnetic field of magnitude $0\mathrm{.}68$ T $.$ Find the $($a$)\backslash ($ x $\backslash ),($b$)\backslash ($ y $\backslash ),$ and $($c$)\backslash ($ z $\backslash )$ components of the torque acting on the coil about the hinge line.

$($a$)$ Number

Units

$($b$)$ Number

Units

$($c$)$ Number

Units