Let $P, Q, R$ and $S$ be the points on the plane with position vectors $-2\hat{i}-\hat{j}, 4\hat{i}, 3\hat{i}+3\hat{j}$ and $-3\hat{j}+2\hat{j}$, respectively. The quadrilateral $PQRS$ must be a

Perpendiculars are drawn from points on the line $\frac{x+2}{2}=\frac{y+1}{-1}=\frac{z}{3}$ to the plane $xy+z=3$. The feet of perpendiculars lie on the line

A line $l$ passing through the origin is perpendicular to the lines

$l_1:(3+t)\hat{\mathbf{i}}+(-1+2t)\hat{\mathbf{j}}+(4+2t)\hat{\mathbf{k}},-\infty <t<\infty$
$l_2:(3+2s)\hat{\mathbf{i}}+(3+2s)\hat{\mathbf{j}}+(2+s)\hat{\mathbf{k}},-\infty <s<\infty$

Then, the coordinate(s) of the point(s) on $l_2$ at a distance of $\sqrt{17}$ from the point of intersection of $l$and $l_1$ is (are)