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In: Math

Given two lines in​ space, either they are​ parallel, they​ intersect, or they are skew​ (lie...

Given two lines in​ space, either they are​ parallel, they​ intersect, or they are skew​ (lie in parallel​ planes). Determine whether the lines​ below, 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.

L1: x=1-t, y=-2-2t, z=1-t

L2: x=-1+2s, y=-5+4s, z=1+2s

L3: x=-1+2r, y=-5+3r, z=2-r

Find for L1 and L2, L2 and L3, L1 and L3.

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