# Magnitude of Vector Formula

## Formula

### Summary

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

## Usage

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 .