Let L1 be the line passing through the point
P1=(−1, −2, −4) with direction vector
→d=[1, 1, 1]T, and let L2
be the line passing through the point P2=(−2,
4, −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. Use
the square root symbol '√' where needed to give an exact value for
your answer.