## Question:

Determine the moment of the force $F$ about point $O$. The force has coordinate direction angles $\alpha$, $\beta$, $\gamma$. Express the result as a Cartesian vector.

Given:

$F$ = $20$ $Ib\quad a$ = $8$ $in$

$\alpha$ = $60$ $deg\quad b$ = $6$ $in$

$\beta$ = $120$ $deg\quad c$ = $6$ $in$

$\gamma$ = $45$ $deg\quad d$ = $10$ $in$