Let L1 be the line passing through the point P1=(−1, −1, 8) with direction vector →d1=[1, 0, −3],

Question

and let L2 be the line passing through the point P2=(7, −11, 14) with direction vector →d2=[1, 2, −3].
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.

I know how to use the cross product to find the normal and project the points onto the normal to find the distance, but i'm having trouble figuring out Q1 and Q2. Can someone offer advice?

Answer 1

Clearly you did not continue reading to the section where it showed how to find Q1 and Q2.