linear algebra
posted by angel .
Let L1 be the line passing through the point P1=(9, 0, 0) with direction vector →d1=[3, 2, −2]T, and let L2 be the line passing through the point P2=(−10, 8, 4) with direction vector →d2=[3, 0, 2]T.
Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d.
d = _
Q1 = (_,_,_)
Q2 = (_,_,_)

This should get you started.
www.math.jhu.edu/~js/Math202/example1.pdf
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