Let L 1 be the line passing through the point P 1 =(−1, 3, −2) with direction vector →d 1 =[−1, 2, −2] T , and let L 2 be the line passing through the point P 2 =(−14, 8, 5) with direction vector →d 2 =[−1, 4, 0] T .
Find the shortest distance d between these two lines, and find a point Q 1 on L 1 and a point Q 2 on L 2 so that d(Q 1 ,Q 2 ) = d. Use the square root symbol ‘√’ where needed to give an exact value for your answer.
d = 0
Q 1 = ( 0 , 0 , 0 )
Q 2 = ( 0 , 0 , 0 )
