In the cube below, each edge has a length $\backslash ($ a$=3\backslash$mathrm$\{$~m$\}\backslash ).$ The force $\backslash ($ P $\backslash )$ acts along the diagonal CF and has a magnitude of $\backslash ($ P$=200\backslash$mathrm$\{$~N$\}\backslash ).$ Determine $($A$)$ the moment of $\backslash ($ P $\backslash )$ about vertex A$,($B$)$ the moment of $\backslash ($ P $\backslash )$ about the diagonal AG$,$ and $($C$)$ the moment of $\backslash ($ P $\backslash )$ about edge AD$.$