$$\(A B C\)$$ is a rhombus and $$\(O\)$$ is the origin. The diagonals of the rhombus intersect at $$\(P\)$$. $$\(\overrightarrow{O P}=2 \mathbf{m}\)$$ and $$\(\overrightarrow{A P}=\mathbf{n}\)$$. $$\(D\)$$ is the point such that $$\(\overrightarrow{A D}=10 \mathbf{m}-3 \mathbf{n}\)$$. Show that $$\(O A D C\)$$ is a trapezium.

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