AP EAPCET 17th May 2023 Shift 2 Solved Paper

Let ' O ' be the origin, A and B be two points with position vectors −3i−3j+4k and 4i−4j−3k respectively. Let P be a point such that the line drawn through P parallel to OB meets OA in L and another line through P parallel to OA meets OB in M. If L divides OA in the ratio 2:3 and M divides OB in the ratio 3:2, then the distance from O to P is