Distance of a Point from a Hyperplane - Illustration
In 
and 
we illustrate what we mean by "distance of a point from a hyperplane".
In , distance of a point 
from a line 
Given a line in and a point , there is always exactly one point 
on which is closest to . Thus we define the distance from to to be the distance from to .
In : distance of a point from a plane
Given a plane 
in and a point , there is always exactly one point on whose distance from is less than the distance of any other point on from . Thus we define the distance from to to be the distance from to the point on closest to .
- Return to: distance of a point from a hyperplane.