Math Help - Shortest distance between two lines

1. Shortest distance between two lines

How do I find the shortest distance between the two lines

(x, y, z) = (-2, -1, - 4) + t(1, 1, -1)

and

(x,yz)=(−1−11)+t(31−2)

2. Originally Posted by melissa727
How do I find the shortest distance between the two lines (x, y, z) = (-2, -1, - 4) + t(1, 1, -1)
and
(x,yz)=(−1−11)+t(31−2)
Find the distance between the point $(-2,-1,-4)$ and the plane that contains the point $(-1,-1,1)$ with normal $<1,1,-1>\times <3,1,-2>$.