1.
P(3,1,2)P(3,-1,2), Q(1,2,4)Q(1,2,-4). R,SR,S with PRPR direction ratios (4,1,2)(4,-1,2) and QSQS direction ratios (2,1,2)(-2,1,-2). PRPR and QSQS intersect at TT. If TAPR,QS\vec{TA}\perp\vec{PR},\vec{QS} and TA=5|\vec{TA}|=\sqrt{5}, then OA|\vec{OA}| is