A line $l$ passing through the origin is perpendicular to the lines $l_1:(3+t)\widehat{i}+(-1+2t)\widehat{j}+(4+2t)\widehat{k}, -\infty <t<\infty$ $l_2:(3+2s)\widehat{i}+(3+2s)\widehat{j}+(2+s)\widehat{k}, -\infty <s<\infty$ Then, the coordinates (s) of the point (s) on $l_2$ at a distance of $\sqrt{17}$ from the point of intersection of $l$ and $l_t$ is (are)

• A

  $\left(\frac{{\displaystyle 7}}{{\displaystyle 3}},\frac{{\displaystyle 7}}{{\displaystyle 3}},\frac{{\displaystyle 5}}{{\displaystyle 3}}\right)$

• B

  $\left(-1,-1,0\right)$

• C

  $\left(-1,1,1\right)$

• D

  $\left(\frac{{\displaystyle 7}}{{\displaystyle 9}},\frac{{\displaystyle 7}}{{\displaystyle 9}},\frac{{\displaystyle 8}}{{\displaystyle 9}}\right)$