Show that lines l1 and l2 intersect and find the coordinate of the point of intersection Q

Part (i): Show that $l_1$ and $l_2$ intersect and find the coordinate of the point of intersection Q

The given equations of the lines are:
$l_1: \mathbf{r} = (2\mathbf{i} - \mathbf{j} + \mathbf{k}) + \lambda(\mathbf{i} + 3\mathbf{j} + 2\mathbf{k})$
$l_2: \mathbf{r} = (2\mathbf{i} + 2\mathbf{j} + \mathbf{k}) + \lambda(2\mathbf{i} - \mathbf{j} + \mathbf{k})$

*Self-