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Find the shortest distance from the point \(P(6, 2)\) to the line defined by the vector equation:$$ \Vect{r} = \begin{pmatrix} 1 \\ 2 \end{pmatrix} + \lambda \begin{pmatrix} 3 \\ 4 \end{pmatrix}, \quad \lambda \in \mathbb{R} $$
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