Probiem $1.$

Two cables are attached to point A in order to support member AD$.$ A force of $4$ kip is also acting on point $A$ in the $y-$z plane as shown. Assume the compressive force in member AD is directed along the y$-$axis. A free$-$body diagram is required for full credit.

a$)$ Write forces vec$(F_{AB})$ and vec$(F_{AC})$ as Cartesian vectors

b$)$ Determine the tension in each of the cables and the force in member AD$.$