Question
Find the shortest distance between the lines
and 
Solution
The equations of given lines are
and
.
or
...(1)
and
...(2)
Comparing these equations with
we get,
Let S be the point on the line (1) with position vector
and T be the point on the 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, S.D. =
and
.or
...(1)and
...(2)Comparing these equations with
we get,
Let S be the point on the line (1) with position vector
and T be the point on the 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 then Now, S.D. =
