Step 1: \ \

The position vector is $\"\"$ .

The line passing through the point $\"\"$ parallel to the vector $\"\"$ . \ \

The vector equation of the straight line with position vector $\"\"$ and

parallel to the vector $\"\"$ is $\"\"$ .

Here $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

Substitute corresponding values in the above formula.

$\"\"$

$\"\"$ and $\"\"$ .

In standard cartesian form $\"\"$ .

Solution:

cartesian equation of the line is $\"\"$ .