A rope connecting points A and B supports the force F shown in the figure. Write expressio...

A rope connecting points A and B supports the force F shown in the figure. Write expressions using Cartesian vector representation for the following:

(a)  : the position vector from A to B.

(b)  : the position vector from B to A.

(c)  : the unit vector in the direction from A to B.

(d)  : the unit vector in the direction from B to A.

(e)  :  the force vector the rope applies to A.

(f)   : the force vector the rope applies to B.

Figure P2.27