Consider the line passing through the point P, whose position vector is −5 i + j, and parallel to the vector −5 i + 2 j.

Question

Find a cartesian equation for the line.

Answer 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 .

= t.

Cartesian equation of the line is .