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Showing posts with the label Vector integration

Stoke's theorem.

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Answer:- Surface integral of the component of curl F along the normal to the surface S, taken over the surface S bounded by curve C is equal to the line integral of the vector point function F taken along the closed curve C. I.e

Surface integral.

Answer:- Surface integral of a vector function F over the surface S  is defined as the integral of the components of F along the normal to the surface.

Show that V=(2xy+z³)i^+x²j^+3xz²k^ is a conservative field.

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Answer:-

Find workdone by a force yi^+xj^ which displaces a particle from origin to a point i^+j^.

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Answer:-

What is gauss divergence theorem ?

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Answer:- It states that the volume integral of the divergence of a vector field A taken over any volume V is equal to the surface integral of A taken over the closed surface surrounding the volume V. I.e