Vector Fields      

A 2 dimensional vector field is the assignment of a vector to each point on a surface. A 3 dimensional vector field is the assignment of a vector to each point in some region of 3 dimensional space.  In this worksheet, we explore vector fields and the operations defined upon them.  First, let's load some packages.   

>	restart:with(plottools):with(plots):with(VectorCalculus):

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Vector Fields in 2 and 3 Dimensions

Gradient and Curl

Vector Fields in Cylindrical and Spherical Coordinates

Exercises