Answer:
or
Step-by-step explanation:
yz-plane has the equation where is a real constant. The normal vector of this plane (vector perpendicular to the plane) is
If the line is perpendicular to this plane, then it is parallel to the normal vector, so the equation of this line is
where are coordinates of the point the line is passing through.
In your case, the line is passing through the point (0,0,8), so the canonical equation of the line is
Write a vector parametrization for this line