The diagram shows trapezium $$\(O A C B\)$$. $$\(N\)$$ is the point on $$\(O C\)$$ such that $$\(A N B\)$$ is a straight line. Find $$\(\overrightarrow{O N}\)$$ as a simplified expression in terms of $$\(\mathbf{a}\)$$ and $$\(\mathbf{b}\)$$.

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