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.
Formula Terms
| 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. |
To calculate the magnitude of a vector, take the square root of the sum of the squares of the vector’s components. For example, to calculate the magnitude of the vector the formula is:
The magnitude of the vector is equal to .
The dot product of two vectors is calculated by summing together the product of corresponding elements.