Interactive resource
Plane vector fields
Calculus. F(x, y) = (P, Q): direction and size at each point. Free interactive GeoGebra resource — adjust parameters in the browser.
Overview
F(x, y) = (P, Q): direction and size at each point.
Explanation
A plane vector field assigns a vector F(x, y) = (P, Q) at each point.
Example: F = (x, y) radiates outward (positive divergence); F = (−y, x) rotates about the origin (nonzero curl).
Arrow direction and spacing sketch divergence vs rotation.
How to use
Switch common fields and read divergence/curl from the arrows.