The four forces are perpendicular to the plane shown below. Forces $\backslash ($ F$\_\{$A$\}=20\backslash$mathrm$\{$lb$\},$ F$\_\{$B$\}=13\backslash$mathrm$\{$lb$\},$ F$\_\{$D$\}=\backslash )13$ lb $,$ and $\backslash ($ F$\_\{$G$\}=15\backslash$mathrm$\{$lb$\}\backslash ).$

A$)$ Write each force in vector form.

B$)$ Determine the magnitude of the moment that the forces generate about line BC$.$

C$)$ Replace the system by an equivalent resultant force and couple moment at point $\backslash ($ C $\backslash ).$

D$)$ Can this system consisting of a single force and couple moment at point C be further reduced to a single force? If so$,$ determine the location on the x$-$z plane where the force should be placed. If not, determine the angle between the equivalent force and couple moment at point C $.$