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

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

$l_2:\left(3+2s\right)\hat{i}+\left(3+2s\right)\hat{j}+\left(2+s\right)\hat{k},-\infty <s<\infty$

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)