\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the shortest distance from the point \(P(3, 1, 1)\) to the line passing through \(A(1, 2, 3)\) with direction vector \(\Vect{b} = \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix}\).
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