   Chapter 12, Problem 11RCC

Chapter
Section
Textbook Problem

# How do you find a vector perpendicular to a plane?

To determine

To find: A vector perpendicular to a plane.

Explanation

If the equation of the plane is known, then the normal vector of the plane is the vector perpendicular to the plane.

The normal vector to the plane ax+by+cz+d=0 is a,b,c.

That is, n=a,b,c.

Thus, the vector perpendicular to a plane is the normal vector of the plane when the equation of the plane is known.

If the equation of the plane is not known, then use the points of the plane to obtain two non-parallel vectors of the plane

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