$$\(\overrightarrow{O T}=\mathbf{t}, \overrightarrow{O U}=\mathbf{u}\)$$ and $$\(U Y=2 Y T\)$$. $$\(Z\)$$ is on $$\(O T\)$$ and $$\(Y Z\)$$ is parallel to $$\(U O\)$$. Find $$\(\overrightarrow{O Z}\)$$ in terms of $$\(\mathbf{t}\)$$ and/or $$\(\mathbf{u}\)$$. Give your answer in its simplest form. $$\[ \overrightarrow{O Z}=............................................. \]$$

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