Show that the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}=\lambda \;and\;\frac{x-4}{5}=\frac{y-1}{2}=z=\mu\;$intersect. Also,find thier point of intersection.

Question

$\begin{array}{1 1} \text{The point of intersection=(-1,-1,-1)} \\ \text{The point of intersection=(-1,-1,1)} \\ \text{The point of intersection=(-1,1,-1)} \\ \text{The point of intersection=(1,-1,-1)} \end{array}$