I realise by now I must be making everyone crazy on this forum with my questions on vector calculus...but I really have no choice!(adsbygoogle = window.adsbygoogle || []).push({});

Please bear with me for another few days...I promise I'll get this done as fast and as painlessly as possible.

Here goes...

1.In divergence theorem,green's theorem and stoke's theorem,webasically interchange between types of integrals-e.g green's theorem lets us interconvert line integrals and surface integrals.....do we need to interchange between types of integrals just to aid calculations?

2.Why does curl need to be a vector quantity? The concept curl(i.ethe amount of rotation at a particular point) could be explained by a scalar quantity also...we wouldn't need to assign a direction?

3. Why is an irrotational field nonconservative?

(I found a website describing an irrotational field as one in which there is 'free energy'....what's this all about?)

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# Homework Help: Theorems on vector calculus.

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