A line $l$ passing through the origin is perpendicular to the lines $$ \begin{aligned} & l_1:(3+\mathrm{t}) \hat{\mathrm{i}}+(-1+2 \mathrm{t}) \hat{\mathrm{j}}+(4+2 \mathrm{t}) \hat{\mathrm{k}},-\infty<\mathrm{t}<\infty \\ & l_2:(3+2 \mathrm{t}) \hat{\mathrm{i}}+(3+2 \mathrm{t}) \hat{\mathrm{j}}+(2+\mathrm{s}) \hat{\mathrm{k}},-\infty<\mathrm{s}<\infty \end{aligned} $$ 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)