construction worker is attempting to take down a vertical pole OA

by pulling on a rope that is attached to the top at A$.$ The worker exerts a force of $20$ N on the

rope. Coordinates for points O$,$ A$,$ and B are: O $=(0,0,0),$ A $=(0,0,10\mathrm{.}5),$ and B $=(4,-3,1\mathrm{.}5).$

Determine the following quantities:

$($a$)$ The force F as a $3$D Cartesian vector.

$($b$)$ The direction angles $($$,$ $,$ $)$ for force F$.$

$($c$)$ The moment MO $($vector$)$ of force F about

point O$.$

$($d$)$ The angle between force F and pole OA$.$

$($e$)$ The component of force F that pushes the

pole into the ground.