A$21-$loop circular coil $11$ cmcm in diameter lies in the xyxy plane. The current in each loop of the coil is $8$AA clockwise, and an external magnetic field B$=(0\mathrm{.}9$i$^+0\mathrm{.}9$j$^0\mathrm{.}9$k$^)$TB$=(0\mathrm{.}9$i$^+0\mathrm{.}9$j$^0\mathrm{.}9$k$^)$T passes through the coil.

Determine the magnetic moment of the coil, $$$,$ in a component form.

Express your answers in ampere$-$square meters separated by commas.

Determine the torque on the coil due to the external magnetic field in a component form.

Express your answers in newton$-$meters separated by commas.

Determine the potential energy UU of the coil in the field $($take UU $=0$ at $=$ $/2$$/2).$

Express your answer in Joules.