Problem $3$:

The rope CE exerts an $800$ N force $T$ on the hinged door as shown.

Determine the unit vector of $CE$;

Express $T$ in terms of Cartesian components;

Determine the unit vector of $AB$;

Determine the moment of $T$ about the point $B$ on the line $AB$;

Calculate the moment of $T$ about the line $AB.$

Calculate the moment of $T$ about the line AC $.$

Calculate the moment of $T$ about the line AE$.$