Introduction to Vector Fields

Vector fields provide a mathematical framework for describing quantities that possess both magnitude and direction at every point in space. Physical phenomena such as wind flow, ocean currents, magnetic forces, and fluid motion can all be represented using vector fields. In meteorology, for example, wind may vary continuously across a geographic...

On a spring day over the San Francisco Bay, the wind can move differently at each location. To visualize this movement on a two-dimensional map, an arrow is placed at coordinates across the region.

This physical phenomenon is described mathematically as a vector field, defined by the function F(x, y). To visualize t...