Show that the lines $\overrightarrow{r} = (\overrightarrow{i} +\overrightarrow{j} - \overrightarrow{k} ) + \lambda (4 \overrightarrow{i} -\overrightarrow{k})+ \mu ( 2 \overrightarrow{i} +3 \overrightarrow{k})$ intersect. Find their point of intersection.

Question

$\begin{array}{1 1} (0,1,2) \\ (4,0,-1) \\ (3,2,5) \\(1,2,3) \end{array}$