# Plane equation Conversion

Converts a Plane equation from/to cartesian, normal and parametric form

• **cartesian** form : **a**.x+**b**.y+**c**.z+**d** = 0

• **normal** form: definined by a point M_{0} of the plane (**x _{0} y_{0} z_{0}**) and a perpendicular vector to plane `\vecn` (

**u v w**)

•

**parametric**form : defined by a point M

_{0}of the plane (

**x**) and two vector of the plane `\vece`(

_{0}y_{0}z_{0}**u v w**) and `\vecf`(

**r s t**). Plane equation is (p and q are two real numbers) :

x = x

_{0}+p*

**u**+q*

**r**

y = y

_{0}+p*

**v**+q*

**s**

z = z

_{0}+p*

**w**+q*

**t**