A line passes through the point with position vector
and is the direction of
Find equations of the line in vector and Cartesian form.
The vector equation of a line passing through a fixed-point ‘a’ and having directions parallel to
is given by
![]()
Here ![]()
![]()
the Cartesian equation of the line is
![]()
where
are the coordinates of the fixed-point ‘a’, and
are coordinates of
.
so, the cartesian equation becomes as follows
![]()