- 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.