Two cables, AB$,$ and CD support a bent rod. The magnitude of the tension along the cableCD is known to be $5$ kN$.$

A$=(0,0,4)$B$=(4,0,0)$C$=(-3,4,6)$D$=(0,5,0)$O$=(0,0,0)$

A$)$ Write the following position vectors. Express all vectors in Cartesian vector form:$*$ From O to A $*$ From O to B $*$ From O to C $*$ From O to D$*$ From A to B $*$ From C to D

B$)$ Write the tension in the cable CD as a Cartesian force vector,

C$)$ Compute the components of the tension in cable CD parallel and perpendicular to the line AB as a Cartesian force vector.