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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Ll: x = 3 + 2t, y = −1 + 4t, z = 2 = t; L2: x = = -3 + 4s; 1 + 4s, y = 1 + 2s, z L3: x = 3 + 2r, y = 2 + r, z -2 + 2r; -∞ < t <∞ -∞< s <∞ -∞