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Our class just learned Green's theorem using the Curl of a vector field F. I'm just having a tough time visualizing what in the world this means. I'm trying to view it in a physics perspective but I'm having a tough time. There's a picture in my textbook which has a plane with region D in R^3 with vector k which is normal to D. (Sorry I will definitely learn how to use this forum's programs to post pretty pictures of my symbolism). There are vectors F(x,y) on this plane D and they point to their respective directions. They seem to 'rotate' or point in a CCW direction around the normal K. Can anyone give me a better visualization (or decryption of this image) of Green's theorem? Thank-you!

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# Green's Theorem via Curl

Can you offer guidance or do you also need help?

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