Find the vector and Cartesian equations of the line passing through the points A(2, -3, 0) and B(-2, 4, 3).
Given: line passes through the points (2, -3, 0) and (-2, 4, 3)
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 (2 + 2) : (-3 - 4) : (0 - 3)
⇒ 4 : -7 : -3
⇒ -4 : 7 : 3
So, 
Therefore,
Vector form:
Cartesian form:
1