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Vector Fields

The focus of this video is vector fields, both 2 and 3 dimensional. We define the notation of a vector field in both component form and vector brackets. Multiple vector fields are graphed, including examples of radial and rotational vector fields. We also extend the idea of the gradient vector to a vector field and define what it means for a vector field to be conservative. Examples of generating vector fields from a potential function and finding a potential function from a vector field are included.