The point P has position vector \(3\mathbf{i} - 2\mathbf{j} + \mathbf{k}\). The line \(l\) has equation \(\mathbf{r} = 4\mathbf{i} + 2\mathbf{j} + 5\mathbf{k} + \mu(\mathbf{i} + 2\mathbf{j} + 3\mathbf{k})\).

Find the length of the perpendicular from P to l, giving your answer correct to 3 significant figures.