$(30$ points$)$ Replace the force and couple moment system acting on the rectangular block by a wrench. Answer the following questions:

$($a$)$ Express the force exerted by the wrench as a Cartesian vector.

$\{-450i+600j+300k\}lb$

$($b$)$ Express the couple moment exerted by the wrench as a Cartesian vector

$\{558\mathrm{.}8i-745\mathrm{.}0j-372\mathrm{.}5k\}lb*ft$

$($c$)$ Find the coordinates $x$ and $y$ where the line of action of the wrench intersects the $x-y$ plane. feet $=12$ inch