vector field

A vector field is a visual or mathematical way to represent how a quantity, like force, velocity, or direction, varies across a space. Imagine arrows pointing in different directions and sizes at every point in a region—these arrows show the strength and direction of the quantity at each location. For example, a wind map showing wind speed and direction across an area is a vector field. It helps us understand how something moves or behaves throughout a region, providing a detailed picture of dynamic systems in space.