Question
Determine whether the following pair of lines intersect:
Solution
The equations of given lines are:
or
and
The equations of two lines are
...(1)
and
...(2)
Comparing these equations with
Let S be points on line (1) with position vector
and T be point on line (2) with position vector 
so that
Let
be the S.D. vector between given lines. Therefore, it is parallel to 
If
is a unit vector along 
, then
Now S.D. = Projection of
∴ given lines do not intersect.
or
and
The equations of two lines are
...(1)and
...(2)Comparing these equations with
Let S be points on line (1) with position vector
and T be point on line (2) with position vector so thatLet
be the S.D. vector between given lines. Therefore, it is parallel to If
is a unit vector along , thenNow S.D. = Projection of
∴ given lines do not intersect.
