# Magnitude of Vector Formula

The magnitude a vector is given by the square root of the sum of each of the components squared. Geometrically, the magnitude of a vector is equal to the length of the vector.

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

The vector | |

The value of the first component of | |

The value of the second component of | |

The value of the last component of |

Geometrically, the magnitude of a vector corresponds to the length of the vector in space. For example, the magnitude of the vector is , because the square root of squared plus squared is equal to .