<s>[INST] The vector $\vec{v} = \begin{pmatrix} 3 \\ -1 \\ 2 \end{pmatrix}$ is a direction vector for the line $L$. Find the point on the line $L$ which is closest to the point $P = \begin{pmatrix} 1 \\ 2 \\ 0 \end{pmatrix}$.[/INST]