# Plane

## Point–normal form of the equation of a plane

$ax+by+cz+d=0$

### The normal vector of the plane

$\stackrel{\to }{n}=\left(a,b,c\right)$

## Axial section form of the plane

$\frac{x}{{x}_{0}}+\frac{y}{{y}_{0}}+\frac{z}{{z}_{0}}=1$

## Distance of point$M\left({x}_{M},{y}_{M},{z}_{M},\right)$from the plane

$D=\frac{a·{x}_{M}+b·{y}_{M}+c·{z}_{M}}{\sqrt{{a}^{2}+{b}^{2}+{c}^{2}}}$
Keywords: Plane