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 vector. | |
| The value of the second component of the vector. | |
| The value of the -th component of the vector. |
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 .