# Area Between Two Vectors 2D Formula

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 |

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.