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 LK and LM are each of length √2. What are the values of m and n respectively?

Mathematics 2018 NDA Mathematics 2018 NDA 2018

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