Problem $4$: A $2\mathrm{.}4$ meter long boom is held by a ball$-$and$-$socket joint at C and by two cables AD and BE $.$ The applied $880$ N force is completely in the z $-$direction. The magnitude of the tension in cable BE is $2986\mathrm{.}6$ N or in cartesian components $(-1280$hat$()-2560$hat$()+853$hat$(k))N.$ Find the magnitude of the tension in cable $T_{AD}.$

$T_{BE}=-1280$hat$()-2560$hat$()+853$hat$(k)N$

$$

$,2\mathrm{.}4,$

$1\mathrm{.}8,0$

$00)$

$2,0,0\mathrm{.}3$