Coordinates of the points O, P, Q and R are respectively...

Coordinates of the points $\mathrm{O}, \mathrm{P}, \mathrm{Q}$ and R are respectively $(0,0,0),(4,6,2 m),(2,0,2 n)$ and $(2,4,6)$. Let $L, M, N$ and $K$ be points on the sides $O R, O P, P Q$ and $Q R$ respectively such that LMNK is a parallelogram whose two adjacent sides side $L K$ are each of length $\sqrt{2}. What are the values of$m$and n respectively?$