A line is drawn in the direction of 
and it passes through a point with position vector 
Find the equations of the line in the vector as well as Cartesian forms.
Given: line passes through 
and is drawn in the direction of 
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:
Since line is drawn in the direction of 
, it is parallel to 
Here, 
and 
Therefore,
Vector form:
Cartesian form:
1