GATE EE 2026 Set 1 — Question 32

NAT+1 / -0EasyStokes, Gauss & Green's TheoremsVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Stokes, Gauss & Green's Theorems

Last updated 5 September 2026

Question

\vec{F}(x, y, z) = \sin(y) \hat{x} + \cos(x) \hat{y} + 5 \hat{z}

\oiint_S \vec{F} \cdot d\vec{s} = \iiint_V (\nabla \cdot \vec{F}) dV

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\oiint_S \vec{F} \cdot d\vec{s} = \iiint_V (\nabla \cdot \vec{F}) dV

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