Consider the triangle ABC and vectors   $\widehat{i}+3\widehat{j}+3\widehat{k},3\widehat{i}+4\widehat{j}+5\widehat{k},2\widehat{i}+\widehat{j}+2\widehat{k}$    acting in the direction of AB, BC, CA respectively & D is a point on BC such that AD in perpendicular to BC.  
Let  $S=\left\{\left.\overrightarrow{x}\right|\overrightarrow{x}\times \overrightarrow{AD}=\overrightarrow{0}\&\left|\overrightarrow{x}\right|=5\right\}$and
$T=\left\{\left.\overrightarrow{y}\right|\overrightarrow{y}=p\widehat{i}+q\widehat{j}+r\widehat{k},p,q,r\in \left\{-1,-2,-3,-4\right\}\right\}.$          
Then number of ordered point(s) $\left(\overline{x},\overline{y}\right),\overline{x}\in S,\overline{y}\in T$    such that$\overline{x}.\overline{y}=0$  is/are ___