NDA Math Three Dimensional Geometry

Coordinates of the points O, P, Q and R are respectively (0,0,0),(4,6,2m),(2,0,2n) and (2,4,6). Let L, M, N and K be points on the sides OR, OP, PQ and QR respectively such that LMNK is a parallelogram whose two adjacent sides side LK are each of length √2 . What are the values of m and n respectively?