Hi, I have this vector calculus question to do, and I can't seem to get it right! Could someone take a look for me?(adsbygoogle = window.adsbygoogle || []).push({});

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Q. The vector A(r) = (y,-x,z). Verify Stokes' Theorem for the hemispherical surface |r|=1, z>=0.

A. I considered, the line integral about the circle in the xy plane (All interior boundaries cancel). Use polar co-ordinates, take the integral of 2sintcost.dt from 0->2pi thus getting an answer of zero.

Then, find curl of A = -2k and dot this with the unit normal = -2. I know I now need to take the surface integral but I'm not sure how I proceed? Neither am I convinced I even understand what I'm doing!

Please help :uhh:

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# Homework Help: Stokes' Theorem

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