# 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
 [1-10] /75 Disp-Num5103050100200
[1]  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
[2]  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
[3]  2018/07/15 19:23   Male / Under 20 years old / High-school/ University/ Grad student / Very /
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homework
[4]  2018/06/26 17:10   Male / 30 years old level / An engineer / Useful /
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3d curvature scripting
[5]  2018/01/28 11:38   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
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3D Calc
[6]  2018/01/23 14:33   Male / Under 20 years old / High-school/ University/ Grad student / Very /
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Vector Calculus
[7]  2017/11/27 07:00   Female / 20 years old level / High-school/ University/ Grad student / Useful /
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Calculus 3
[8]  2017/11/26 16:15   Male / 30 years old level / High-school/ University/ Grad student / Very /
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check own implementation
Comment/Request
thx!
[9]  2017/11/16 15:08   Male / 30 years old level / A teacher / A researcher / Useful /
Purpose of use
Double-checking test questions
[10]  2017/09/15 08:10   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
hw
Comment/Request
works well

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