How Do You Apply Stoke's Theorem to a Rectangle in the x-y Plane?

[element1945]

The simple case of Stoke's Theorem for a rectangle in the x-y plane. I use green's theorem because n = k.

The question is... what should i choose as a vector function F? I just want to prove stoke's theorem for this case. Do i need a vector function?

 

[HallsofIvy]

I have no idea what you mean by this. What are "n" and "k"? And, of course, the function F depends on the particular problem. If you are trying to prove Stoke's theorem, you must let F be any differentiable vector function.