Question
Find the shortest distance between the lines
and 
Solution
The equations of two lines are
...(1)
and
...(2)
Comparing these equations with
Let 'S be the point on line (1) with position vector
and T be the point on line (2) with position vector 
so that
Now,
Let
be the S.D. vector between given lines.
Therefore, it is parallel to
If
is a unit vector along 
, then
Now
...(1)and
...(2)Comparing these equations with
Let 'S be the point on line (1) with position vector
and T be the point on line (2) with position vector so thatNow,
Let
be the S.D. vector between given lines.Therefore, it is parallel to
If
is a unit vector along , thenNow
