List questions from vector-analysis

Published on 15 Apr 2026 - 8:46

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Does there exist a vector field $\vec F$ such that $curl \vec F=x \vec i+y\vec j+z \vec k$?

Published on 16 Apr 2026 - 8:08

64

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How to differentiate the numerator of this vector field $\frac{\vec r}{|r|^3}$?

Published on 13 Apr 2026 - 4:45

105

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$\nabla^2 u = 0 $ and integral $u$ around $\partial B_\rho$

Published on 13 Apr 2026 - 16:28

129

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Regarding gauss law differential form

Published on 07 Apr 2026 - 12:05

105

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Gauss´s law proof "details"

Published on 07 Apr 2026 - 12:05

276

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Equivalence of two vector fields

Published on 14 Apr 2026 - 11:48

160

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Strong maxima and minima

Published on 13 Apr 2026 - 10:14

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What is the normal vector to the plane ax+by+cz=d?

Published on 14 Apr 2026 - 16:47

1k

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Application of Gauss Divergence Theorem

Published on 11 Apr 2026 - 12:03

560

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To evaluate using Gauss Divergence Theorem

Published on 15 Apr 2026 - 2:48

26

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Why is the expression $u_{j}\frac{\partial u_{j}}{\partial x_{i}}$ equivalent to $\frac{1}{2}\frac{\partial}{\partial x_{i}}(u_{j}u_{j})$?

Published on 14 Apr 2026 - 17:07

2.5k

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Swapping partial derivative and curl operator

Published on 09 Apr 2026 - 8:07

750

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Is this a correct identity for the Kronecker delta and the Alternating Tensor?

Published on 14 Apr 2026 - 17:29

54

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Equivalence between two systems of vector equations

Published on 14 Apr 2026 - 0:13

List Question

Derivative of $f(X)=X^T$

Does there exist a vector field $\vec F$ such that $curl \vec F=x \vec i+y\vec j+z \vec k$?

How to differentiate the numerator of this vector field $\frac{\vec r}{|r|^3}$?

$\nabla^2 u = 0 $ and integral $u$ around $\partial B_\rho$

Regarding gauss law differential form

Gauss´s law proof "details"

Equivalence of two vector fields

Strong maxima and minima

What is the normal vector to the plane ax+by+cz=d?

Application of Gauss Divergence Theorem

To evaluate using Gauss Divergence Theorem

Why is the expression $u_{j}\frac{\partial u_{j}}{\partial x_{i}}$ equivalent to $\frac{1}{2}\frac{\partial}{\partial x_{i}}(u_{j}u_{j})$?

Swapping partial derivative and curl operator

Is this a correct identity for the Kronecker delta and the Alternating Tensor?

Equivalence between two systems of vector equations

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