Find the vector equation of the line passing through the point with position vector 
and parallel to the vector 
Deduce the Cartesian equations of the line.
Given: line passes through 
and is parallel to 
To find: equation of line in vector and Cartesian forms
Formula Used: Equation of a line is
Vector form: 
Cartesian form: 
where 
is a point on the line and 
is a vector parallel to the line.
Explanation:
Here, 
and 
Therefore,
Vector form:
Cartesian form:
1