Ângulo entre Planos

cos θ = n₁·n₂/(|n₁||n₂|).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

θ (°)
90,00

Formula

ângulo planos

About this calculator

The Plane Angle Calculator is a helpful tool to calculate the angle between two given planes. Based on the formula cos θ = n1·n2/(|n1||n2|), where n1 and n2 are the normal vectors to the planes, this calculator helps find the corresponding angle.

The used formula is cos θ = n1·n2/(|n1||n2|), where |n1| and |n2| are the magnitude of the normal vectors. This calculator is especially useful in geometry and physics problems, where the calculation of angles between planes is crucial.

It is essential to remember that this calculator is only a tool to assist in the calculation. Understanding the formula and underlying concepts is fundamental to obtaining accurate results.

Additionally, it is crucial to be careful with the orientation of the normal vectors and to ensure that the magnitude is calculated correctly to obtain accurate results.

Frequently asked questions

What is the angle between planes?

The angle between planes is a measure of the separation between two planes in a three-dimensional space.

When to use this calculator?

This calculator is useful in geometry and physics problems, where the calculation of angles between planes is crucial.

How to ensure that the results are accurate?

It is fundamental to understand the formula and underlying concepts, besides being careful with the orientation of the normal vectors and ensuring that the magnitude is calculated correctly.

Can I use this calculator with scalar normal vectors?

Yes, this calculator can be used with scalar normal vectors, as long as the magnitude is calculated correctly.

What is a normal vector?

A normal vector is the vector perpendicular to the plane that passes through a given point.

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