- If a plane is determined by the points
prove that the distance from a point
to this plane is given by
- Using part (a) compute the distance in the case
- Proof. We know the distance from a plane containing a point
to a point
not on the plane is given by the formula
Since the plane through
is the set of points
we have
. Thus, the distance from
to
is
- For the given points
we have
Proof of (a): first expression needs an absolute value in the numerator.