9709 P31 - Jun 2012 - Q8I - 4 marks
2161
The point P has coordinates (-1, 4, 11) and the line l has equation \(\mathbf{r} = \begin{pmatrix} 1 \\ 3 \\ -4 \end{pmatrix} + \lambda \begin{pmatrix} 2 \\ 1 \\ 3 \end{pmatrix}\).
Find the perpendicular distance from P to l.
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