Question

Shortest distance between two skew lines.
Let L1 be the line passing through the point P1=(5, 3, −1) with direction vector d=[2, −3, −3], and let L2 be the line passing through the point P2=(1, 2, −1) with the same direction vector.
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.