Vector fields, introduction
5:05
Khan AcademyGrant Sanderson
Vector fields, introduction
Vector fields let you visualize a function with a two-dimensional input and a two-dimensional output. You end up with, well, a field of vectors sitting at various points in two-dimensional space.
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A vector field is a mathematical representation that assigns a vector to every point in a given region of space. These vectors can represent various physical quantities such as velocity in a fluid flow, the strength and direction of a magnetic or electric field, or even the gradient of a scalar function. In two dimensions, a vector field looks like a grid of arrows, each arrow showing the direction and magnitude of the vector at that point. In three dimensions, the concept is similar but harder
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