A cube is acted on by a force $\backslash (\backslash$boldsymbol$\{$P$\}\backslash )$ as shown. Determine the moment of $\backslash (\backslash$boldsymbol$\{$P$\}\backslash )$

a$)$ about $\backslash ($ A $\backslash )$

b$)$ about the edge $\backslash ($ A B $\backslash )$ and

c$)$ about the diagonal $\backslash ($ A G $\backslash )$ of the cube.

d$)$ Determine the perpendicular distance between $\backslash ($ A G $\backslash )$ and $\backslash ($ F C $\backslash ).$