# Area Between Two Vectors 2D Formula

The area between two vectors, which forms the shape of a parallelogram, is given by the magnitude of their cross product. The magnititude of their cross product can be found using this formula or by computing the cross product and then calculating the magnitude of the resulting vector.

Expression | Description |
---|---|

The area (parallelogram) between the two vectors. | |

The first vector | |

The second vector |

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.

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

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