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`d = V * U`

Enter a value for all fields

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.

**k V**- scalar multiplication**V / |V|**- Computes the**Unit Vector****|V|**- Computes the**magnitude of a vector****U + V**- Vector addition**U - V**- Vector subtraction**|U - V|**- Distance between vector endpoints.**|U + V|**- Magnitude of vector sum.**V • U**- Computes the dot product of two vectors**V x U**- Computes the cross product of two vectors**Vector Angle**- Computes the angle between two vectors**Vector Area**- Computes the area between two vectors**Vector Projection**- Compute the vector projection of V onto U.**Vector Rotation**- Compute the result vector after rotating around an axis.**(ρ, θ, φ) to (x,y,z)**- Spherical to Cartesian coordinates**(x,y,z) to (ρ, θ, φ)**- Cartesian to Spherical coordinates**(r, θ, z) to (x,y,z)**- Cylindrical to Cartesian coordinates**(x,y,z) to (r, θ, z)**- Cartesian to Cylindrical coordinates