$(40$ points$)$ Three forces are shown below. Assume that the magnitude of each force is $100$ lb $.$ Assume that points A and B lie in the horizontal $($xz$)$ plane.

A$.$ Express each force in terms of rectangular coordinates $(i,j,k$ components$).$

B$.$ Determine the resultant $\frac{?}{\text{b}\text{a}\text{r}}(R)$ of the three forces in terms of rectangular coordinates.

C$.$ Determine the magnitude of the resultant, $|R|$

D$.$ Determine the direction angles and ${}_z)$ for the resultant.