Normal ao Plano (produto vetorial)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
vetor normal
About this calculator
The 3D plane equation calculator is a useful tool for finding the equation of a plane in three dimensions. It uses the vector formula to calculate the normal vector to the plane, which is essential for determining the plane's equation.
The formula used by the calculator is n = AB × AC, where AB and AC are vectors that define the planarity of the plane. This allows you to find the plane's equation in the form ax + by + cz + d = 0.
This calculator is ideal for geometry problems, such as finding the equation of a plane that passes through three points or determining the normality of a plane in three dimensions.
Note that the calculator assumes that vectors AB and AC are in the same plane and that the plane's normality is positive.
Frequently asked questions
What is a normal vector?
A normal vector is a vector that is perpendicular to the plane. It is essential for determining the plane's equation.
When should I use the calculator?
Use the calculator when you need to find the equation of a plane that passes through three points or determine the normality of a plane in three dimensions.
Why does the calculator assume that vectors AB and AC are in the same plane?
The calculator assumes this because the formula used to calculate the normal vector requires that vectors AB and AC be perpendicular to the plane.
What is the normality of the plane?
The normality of the plane is the direction perpendicular to the plane. It is essential for determining the plane's equation.
Can I use the calculator with negative vectors?
Yes, you can use the calculator with negative vectors, as long as they are perpendicular to the plane.