Question 55

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 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)


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