Find the vector equation of a line which is parallel to the vector 
and which passes through the point (5, –2, 4). Also, reduce it to Cartesian form.
the vector equation of a line that passes through a fixed point 
and is parallel to the vector 
is
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
3