O is the origin and $$\(O P Q R\)$$ is a parallelogram. $$\(S O P\)$$ is a straight line with $$\(S O=O P\)$$. $$\(T R Q\)$$ is a straight line with $$\(T R=R Q\)$$. $$\(S T V\)$$ is a straight line and $$\(S T: T V=2: 1\)$$. $$\(\overrightarrow{O R}=\mathbf{a}\)$$ and $$\(\overrightarrow{O P}=\mathbf{b}\)$$ Find, in terms of $$\(\mathbf{a}\)$$ and $$\(\mathbf{b}\)$$, in its simplest form, the position vector of $$\(T\)$$,

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