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# V3 - Vector Magnitude

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Equation / Last modified by AndrewBudd on 2018/10/12 15:45
`|V| = `

The **Vector Magnitude** calculator * Vector in three dimensions*computes the magnitude |V| of a three dimensional vector (V).

**INSTRUCTIONS:** Enter the following:

- (
**V**) : Enter the x, y and z components of V separated by commas (e.g. 2,9,3)

**Vector Magnitude |V|: **The calculator returns the magnitude of the vector (e.g.9.69)

#### The Math / Science

This formula lets the user enter a three dimensional vector with X, Y and Z components and calculates the magnitude of the vector |V|. The formula to compute the vector magnitude is:

`|V| = sqrt(x²+y²+z²)`

where:

- |V| is the magnitude of the vector
- x, y and z are the components of the vector.

Visually, the magnitude of the vector is the length of measurement from the origin of the coordinate system to the end point of the vector.

#### 3D Vector Functions

- multiply a vector by a scalar
- divide a vector by a scalar
- add two vectors
- subtract two vectors
- compute the dot product of two vectors
- compute the cross product of two vectors
- compute the unit vector of a vector
- compute the magnitude of a vector
- project a vector onto another vector
- compute the angle between two vectors
- rotate a vector around an axis
- convert spherical coordinates into a vector
- convert a vector into spherical coordinates

#### References

This equation,

**V3 - Vector Magnitude**, is used in 2 calculators and 2 equations/constants.**Calculators**

**Equations and Constants **