Question
Find equation of line, which is parallel to 
and passes through (1, 2, 3).
Solution
We know that the equation of a straight line passing through a fixed point with position vector 
and parallel to the vector 
is 
...(1)
where λ is a parameter.
Here
∴ from (1), the vector equation of line is
and parallel to the vector is ...(1)where λ is a parameter.
Here
∴ from (1), the vector equation of line is
