The position vector of the points `P` and `Q` are `5 hat i+7 hat j-2 hat k` and `-3 hat i+3 hat j+6 hat k` , respectively. Vector ` vec A=3 hat i- hat j+ hat k` passes through point `P` and vector ` vec B=-3 hat i+2 hat j+4 hat k` passes through point `Q` . A third vector `2 hat i+7 hat j-5 hat k` intersects vectors `A` and `Bdot` Find the position vectors of points of intersection.