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=3+2t, y=−1+4t, z=2−t;−[infinity] L2: x=1+4s, y=1+2s, z=−3+4s;−[infinity] L3: x=3+2r, y=2+r, z=−2+2r;−[infinity] Select the correct choice below and fill in the answer? box(es) within your choice.
A. L1 and L2 intersect at the point (__,__,__)
B. L1 and L2 are skew.
C. L1 and L2 are parallel.