Find a parametric vector equation that describes the line th

Find a parametric vector equation that describes the line that passes through the point Q(2,1,2) and whose direction vector is perpendicular to the plane described by the Cartesian equation: x + 2y + 3z = 22.

Solution

A normal vector to plane is:
n = <1,2,3>
r(t)=<2,-1,-2>+t<1,2,3>