The T $-$shaped structure OAB is held in equilibrium by cable $AD$ and the hinge at $O.$ The hinge at $O$ allow rotation about the $y-$axis but prevents all other motion. Force vec$(F{)}_B=(1i+0\mathrm{.}5j-14k)kN$ is applied at point $B$ as shown. The coordinates of points $A,B,$ and $D$ are:

$A=(2\mathrm{.}5,-1,0)m$

$B=(2\mathrm{.}5,1,0)m$

$D=(0,1\mathrm{.}5,3\mathrm{.}5)m$

Determine the tension in cable $AD$ and the magnitudes of the net reaction force and reaction moment developed at hinge $O.$ You may neglect the weight of the structure in your analysis.