# Plane equation given three points Calculator

## Calculates the plane equation given three points.

 Point A ( , , ) Point B ( , , ) Point C ( , , ) 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit Plane equation: ax+by+cz+d=0 x+ y+ z+ =0
 $\normal Plane\ equation\hspace{20}{\large ax+by+cz+d=0}\\\vspace{5}(1)\ \vec{AB}=(B_x-A_x,B_y-A_y,B_z-A_z)\\\hspace{25} \vec{AC}=(C_x-A_x,C_y-A_y,C_z-A_z)\\\vspace{5}(2)\ \vec{AB}\times \vec{AC}=(a,b,c)\\\hspace{10} a=(B_y-A_y)(C_z-A_z)-(C_y-A_y)(B_z-A_z)\\\hspace{10} b=(B_z-A_z)(C_x-A_x)-(C_z-A_z)(B_x-A_x)\\\hspace{10} c=(B_x-A_x)(C_y-A_y)-(C_x-A_x)(B_y-A_y)\\\hspace{10} d=-(aA_x+bA_y+cA_z)\\$

Plane equation given three points
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[1]  2019/02/22 23:32   Male / 50 years old level / Self-employed people / Very /
Purpose of use
To help identify CNC g-code points that fall above custom wood blank that do not need to be cut.
[2]  2019/02/07 05:01   Female / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Homework
[3]  2019/01/29 11:01   Male / - / A teacher / A researcher / Useful /
Purpose of use
Double-checking answer key for an assignment.
Comment/Request
Would be useful to also see the normalized plane equation.
[4]  2018/12/18 07:44   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Double checking
[5]  2018/12/08 10:40   Male / 20 years old level / Elementary school/ Junior high-school student / A little /
Purpose of use
How is this not illegal
[6]  2018/11/25 03:24   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Double checking made up exercises
[7]  2018/10/09 16:22   Male / 20 years old level / An engineer / Not at All /
Comment/Request
This was so wrong it's not even funny
[8]  2018/08/03 05:01   Female / 30 years old level / Self-employed people / Useful /
Purpose of use
Double-checking someone else''s work for correctness
[9]  2018/07/15 19:23   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
homework
[10]  2018/06/26 17:10   Male / 30 years old level / An engineer / Useful /
Purpose of use
3d curvature scripting

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