A cube of edge length $l=2\mathrm{.}40cm$ is positioned as shown in the figure below. A uniform magnetic field given by vec$(B)=(6\mathrm{.}3$hat$(i)+4\mathrm{.}0$hat$(j)+3\mathrm{.}0$hat$(k))T$ exists throughout the $r$

$($a$)$ Calculate the magnetic flux through the shaded face.

What is the normal vector to the shaded surface? mWb