GATE EE 2014 Set 3 — Question 13

MCQ+1 / -0.33MediumGradient, Divergence & CurlVector CalculusEngineering MathematicsVector Identities

Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl

Last updated 5 September 2026

Question

\nabla \cdot (f \mathbf{v}) = x^2 y + y^2 z + z^2 x

\nabla \cdot (f \mathbf{v}) = f (\nabla \cdot \mathbf{v}) + \mathbf{v} \cdot \nabla f

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\nabla \cdot (f \mathbf{v}) = f (\nabla \cdot \mathbf{v}) + \mathbf{v} \cdot \nabla f

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