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# V3 - V dot U

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Equation / Last modified by AndrewBudd on 2018/10/12 15:53
`d = `

The **Vector Dot Product** (**V•U**) calculator * Vectors U and V in three dimensions* computes the dot product of two vectors (V and U) in Euclidean three dimensional space.

**INSTRUCTIONS:** Enter the following:

- (
**V**): Enter the x, y and z components of vector V separated by commas (e.g. 4,5,9) - (
**U**): Enter the x, y and z components of vector U separated by commas (e.g. 4,5,9)

**Dot Product (d): **The calculator returns the dot product of U and V. The dot product is also called the inner product or the scalar product.

This formula lets the user enter two three-dimensional vectors (**V** and **U**) with X, Y and Z components. Note the dot product of two **unit vectors** is equal to the cosine of the angle between the two vectors.

#### 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 - V dot U**, is used in 2 calculators and 2 equations/constants.**Calculators**

**Equations and Constants **