Definition:Laplacian/Vector Field/Cartesian 3-Space

Definition
Let $R$ be a region of Cartesian $3$-space $\R^3$.

Let $\map {\mathbf V} {x, y, z}$ be a vector field acting over $R$.

Also see

 * Equivalence of Definitions of Laplacian on Vector Field on Cartesian 3-Space


 * Definition:Laplacian on Scalar Field on Cartesian 3-Space