Vector field

Uncommon card · No. 155757

In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space R n {\displaystyle \mathbb {R} ^{n}} . A vector field on a plane can be visualized as a collection of arrows with given magnitudes and directions, each attached to a point on the plane. Vector fields often have unit of measurement (for example, metres or kilometres per hour), forming a vector physical quantity. They may be used to model, for example, the speed and direction of a moving fluid throughout three dimensional space, such as the wind, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from one point to another point. The elements of differential and integral calculus extend naturally to vector fields. When a vector field represents force, the line integral of a vector field...

Read on Wikipedia · Image Jim.belk, Public domain