# 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] /78 Disp-Num5103050100200
[1]  2018/12/18 07:44   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Double checking
[2]  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
[3]  2018/11/25 03:24   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Double checking made up exercises
[4]  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
[5]  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
[6]  2018/07/15 19:23   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
homework
[7]  2018/06/26 17:10   Male / 30 years old level / An engineer / Useful /
Purpose of use
3d curvature scripting
[8]  2018/01/28 11:38   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
3D Calc
[9]  2018/01/23 14:33   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Vector Calculus
[10]  2017/11/27 07:00   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Calculus 3

Thank you for your questionnaire.
Sending completion

To improve this 'Plane equation given three points Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?
Comment/Request (Click here to report a bug).Bug report (Click here to report questionnaire.）
Calculation bug(Please enter information such as specific input values, calculation result, correct result, and reference materials (URL and documents).)
Text bug(Please enter information such as wrong and correct texts)
Your feedback and comments may be posted as customer voice.