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A '''vector field''' is an assignment of a [[vector]] to each point in some region of space.  A simple example of a vector field is the wind velocity (a vector) at each point on the Earth's surface.  Vector fields are extremely important in science and engineering—some examples are the electric and magnetic fields of [[Maxwell's Equations|electrodynamics]], and the gravitational field of [[gravitation|Newtonian gravity]].

A '''vector field''' is an assignment of a [[vector]] to each point in some region of space.  A simple example of a vector field is the wind velocity (a vector) at each point on the Earth's surface.  Vector fields are extremely important in science and engineering—some examples are the electric and magnetic fields of [[Maxwell's Equations|electrodynamics]], and the gravitational field of [[gravitation|Newtonian gravity]].