Given two lines in space, either they are parallel, they intersect, or they are skew (lie in parallel planes). Determine whether the lines, taken two at a time, are parallel, intersect, or are skew. If they intersect, find the point of intersection. Otherwise, find the distance between the two lines.

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L1: x = 1 + 2t, L2: x = 2-s, L3: x = y=-1-t, z = 3t; y = 3s, z = 1+ s; - 5 + 2r, y = 1−r, z = 8 + 3r; -∞ < t < ∞ -∞<$<∞ -∞