# Divergence

- The divergence operation is performed on a vector and produces a scalar. The del operator followed by the dot product operator is read as "the divergence of" and is an operation performed on a vector. In rectangular coordinates, ∇· means the sum of the partial derivatives of the magnitudes in the x, y, and z directions with respect to the x, y, and z variables. The result is a scalar, and a factor of m

- In rectangular coordinates:

- In cylindrical coordinates:

- In spherical coordinates:

^{-1}is contributed to the units of the result.

**See also: **Del Operator, Laplacian.

**Subjects: ** Mathematics