Question
Find the shortest distance between the lines:
and 
Solution
The equations of the two lines are
...(1)
and
...(2)
Line (1) passes through the point S with position vector
and line (2) passes through the point T with position vector 
Also both lines are parallel to the vector
Now
Now,
...(1)and
...(2)Line (1) passes through the point S with position vector
and line (2) passes through the point T with position vector Also both lines are parallel to the vectorNow
Now,
