Final answer:
To find the parametric equations for a line perpendicular to a plane, determine the normal vector of the plane and any point on the line, and use them to write the equations.
Step-by-step explanation:
When finding the parametric equations for a line that is perpendicular to a plane, we need to determine the direction vector of the line and a point on the line. The direction vector is the normal vector of the plane, and any point on the line can be chosen from the plane. Let's call the direction vector of the line as v and a point on the line as P. The parametric equations for the line can be written as:
x = Px + vxt
y = Py + vyt
z = Pz + vzt
where t is a parameter that determines the position along the line, and (Px, Py, Pz) are the coordinates of the chosen point on the line.