This online calculator will help you to find equation of a plane.

Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find equation of a plane.

Calculator

Guide

Some theory

Equation of a plane calculator

Select available in a task the data:

In task define:

Input data:

A: (

,,

)

B: (

,,

)

C: (

,,

)

n =

{,,

}

Entering data into the equation of a plane calculator

You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.

Additional features of equation of a plane calculator

Use and keys on keyboard to move between field in calculator.

Theory. Equation of a plane.

Plane is a surface containing completely each straight line, connecting its any points.

The plane equation can be found in the next ways:

If coordinates of three points A(x_{1}, y_{1}, z_{1}), B(x_{2}, y_{2}, z_{2}) and C(x_{3}, y_{3}, z_{3}) lying on a plane are defined then the plane equation can be found using the following formula

x - x_{1}

y - y_{1}

z - z_{1}

= 0

x_{2} - x_{1}

y_{2} - y_{1}

z_{2} - z_{1}

x_{3} - x_{1}

y_{3} - y_{1}

z_{3} - z_{1}

If a normal vector n = {A; B; C} and coordinates of a point A(x_{1}, y_{1}, z_{1}) lying on plane are defined then the plane equation can be found using the following formula: