Find the Cartesian and vector equations of a line which passes through the point (1, 2, 3) and is parallel to the line 
Given: line passes through (1, 2, 3) and is parallel to the line
To find: equation of line in Vector and Cartesian form
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 the line (say L1) is parallel to another line (say L2), L1 has the same direction ratios as that of L2
Here, 
Equation of L2 can be rewritten as:
Therefore,
Vector form of the line is:
Cartesian form of the line is:
1