Área Paralelogramo por Vetores

|u × v|.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Área
12,0000

Formula

cross product

About this calculator

The Area Parallelogram by Vectors is an online tool that calculates the area of a parallelogram from the coordinates of the vectors that form it.

This calculator uses the formula |u × v| to calculate the area, where u and v are the vectors forming the parallelogram.

The Area Parallelogram by Vectors is useful in physics, engineering, and mathematics problems that involve calculations of areas and volumes of geometric figures.

In addition, this calculator is also useful for verifying the consistency of the data and avoiding errors in manual calculations.

Frequently asked questions

What is the cross product of the vectors?

The cross product of the vectors is a concept of vector algebra that provides a new direction perpendicular to the original vectors. In some cases, it is necessary to calculate the cross product to determine the area of a parallelogram.

How can I know if the vectors form a parallelogram?

The vectors form a parallelogram if the cross product of the vectors is not zero. In addition, it is also possible to verify if the vectors are parallel or not.

Can I use this calculator for other types of calculations?

Yes, this calculator can be used for other types of calculations, as long as it is possible to express the area or volume in terms of vectors.

What to do if the result of the calculator is negative?

If the result of the calculator is negative, it is likely that there is an error in the input data. Check the coordinates of the vectors and try again.

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