A plane in space is uniquely determined by knowing a point [math]P_0[/math] on the plane and a vector [math]\mathbf{n}[/math] that is perpendicular, or normal, to the plane.[br][br]The plane consists of all points [math]P(x,y,z)[/math] such that the vector from [math]P_0[/math] to [math]P[/math], namely [math]\overrightarrow{P_0P}[/math], is perpendicular to the normal vector [math]\mathbf{n}[/math]. In other words, the plane is the set of all points [math]P[/math] such that [math]\mathbf{n}\cdot\overrightarrow{P_0P} = 0[/math].[br][br]Drag points [math]P_0[/math] and [math]P[/math] as well as the tip of the normal vector [math]\mathbf{n}[/math] and observe how the equation changes.

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]