Question
A line passes through the point with position vector 
and is in direction 
Find equations for the line in vector and in cartesian form .
Solution
Here 
Let 
be the position vector of any point P (x, y, z) on the line
∴ the vector equation of line is 
or 
This equation can be written as
Comparing coefficients of 
we get,
Equationing values of λ, we get, 
which are cartesian equations of the line.
