$(15$ points$)$ The crate is in equilibrium due to the forces in each cord. Answer the

following questions:

$($a$)$ Convert the weight of the crate into kips. $)=(0\mathrm{.}22481lb$

$($b$)$ Express the unit vector of force $F_B$ exerted at point A by cord $AB$ as a Cartesian vector.

$($round your answers to three decimal place$)$

$\{-0\mathrm{.}667i+0\mathrm{.}333j+0\mathrm{.}667k\}$

$($c$)$ Find the coordinate direction angles $,,$ and $$ of the force $F_B.$

$=131\mathrm{.}8=70\mathrm{.}53=48\mathrm{.}19$

$($d$)$ Express the force $F_B$ as a Cartesian vector.

$\{-240i+120j+240k\}1b$

$($e$)$ Express the force $F_C$ exerted at point A by cord AC as a Cartesian vector.

$\{-120i-120j+60k\}lb$

$($f$)$ Express the force $F_D$ exerted at point A by cord AD as a Cartesian vector.

$\{-360i\}lb$