$(5$ pts$.)$ The Force vec$(F)$ has a magnitude of $8$ kN and is directed based on the unit vector hat$(u)=0\mathrm{.}512$hat$()-0\mathrm{.}384$hat$()+0\mathrm{.}768$widehat$(k).$ Determine the tension in cables BD and BE $,$ as well as the reaction of the ball and socket joint at $A.$