Equation of Plane

Theorem
A plane $$P$$ is the set of all $$\left({x, y, z}\right) \in \R^3$$, where:
 * $$\alpha_1 x + \alpha_2 y + \alpha_3 z = \gamma$$

where $$\alpha_1, \alpha_2, \alpha_3, \gamma \in \R$$ are given, and not all of $$\alpha_1, \alpha_2, \alpha_3$$ are zero.