For the figure shown, $||$F$||=150$ N:a$)$ Write the force F in Cartesian vector format.b$)$ Determine the angle $0$ between cables AB and AC$.$c$)$ Determine the magnitude of the component of F parallel to cable AB$.$ d$)$Determine the component of F perpendicular to AB$,$ expressed as a cartesian vector.e$)$Determine the magnitude of the projection of F along line AD$.$