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Engineering Mathematics

Stoke's Theorem

∫∫∇× P.dS, Wh...

Question

$\int \int (\nabla \times P) . d S,$ Where P is a vector, is equal to

\oint P . d l

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\oint \nabla \times \nabla \times P . d l

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\oint \nabla \times P . d l

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\int \int \int \nabla . P d v

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Solution

The correct option is A $\oint P . d l$
By Stoke's theorem,
$\oint P . d l = \int \int (\nabla \times P) . d S$

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Similar questions

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∫∫(∇×P).dS, Where P is a vector, is equal to

The correct option is A ∮P.dlBy Stoke's theorem, ∮P.dl=∫∫(∇×P).dS

$\int \int (\nabla \times P) . d S,$ Where P is a vector, is equal to

The correct option is A $\oint P . d l$
By Stoke's theorem,
$\oint P . d l = \int \int (\nabla \times P) . d S$