# LinAlg4.2.18

From Example Problems

Reduce the equation to normal form and hence find the length of the perpendicular from the origin to the plane.

Given

Simplifying,we have

This is in the form of where

Since not equal to zero,the given equation is not in the normal form.We divide both sides by 13.

Therefore the equation of the plane in the normal form is

Therefore,the length of the perpendicular is