Find the vector and Cartesian equations of the line joining the points whose position vectors are 
and 
Given: line passes through the points whose position vectors are 
and 
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 
with b1 : b2 : b3 being the direction ratios of the line.
Explanation:
Here, 
The direction ratios of the line are (1 - 1) : (-2 - 3) : (1 + 2)
⇒ 0 : -5 : 3
⇒ 0 : 5 : -3
So, 
Therefore,
Vector form:
Cartesian form:
1