Area Between Two Vectors 2D Formula

Formula

Summary

The area between two vectors is given by the magnitude of their cross product. The area forms the shape of a parallegram.

Expression Description
The area (parallelogram) between the two vectors.
The first vector
The second vector

Usage

The area between two vectors is given by the magnitude of their cross product. This formula is a generic way to find the area of any triangle given three points.

Sub Formulas

Cross Product (Determinant)

The cross product of two vectors can be calculated using the formal determinant.

Magnitude of Vector

The magnitude of a vector is given by the square root of the sum of its components squared.