A line passes through the point (2, 1, -3) and is parallel to the vector Find the equations of the line in vector and Cartesian forms.

Given: line passes through (2, 1, -3) 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