Problem $2$:

Cables extend from A to B and from A to C$.$ The cable AC exerts a $1000$ lb force $F$ at A

and the cable AB exerts an $800$ lb force $G$ at A $.$

Determine the unit vector of $F$ and $G$;

Determine the Cartesian components of $F$ along the cable AC ;

Determine the Cartesian components of $G$ along the cable AB ;

Calculate the magnitude and direction of cosines of the resultant force $R=F+G.$