List questions from vector-analysis

Published on 25 Mar 2026 - 10:56

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Outward unit normal vector of $z=0$

Published on 02 May 2020 - 19:09

77

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how does one prove $\operatorname{tr}(A^2(A^2)^T) \le\operatorname{tr}(AA^T)^2$?

Published on 03 May 2020 - 13:02

106

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Gradient of ${\bf u}^T(x) {\bf A} {\bf u}(x)$

Published on 03 May 2020 - 21:40

300

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Evaluating the double integral of a cross product (to prove Gaussian Curvature)

Published on 28 Mar 2026 - 0:49

104

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Evaluating surface integral where vector field is undefined

Published on 28 Mar 2026 - 5:20

67

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How to find all the function of $f$ such that $\vec{\nabla}f=\vec{F}$?

Published on 05 May 2020 - 3:37

144

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Scalar fields proof

Published on 29 Mar 2026 - 6:27

636

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surface of sphere $x^2+y^2+z^2=25$ below the plane $z=4$

Published on 05 May 2020 - 18:57

574

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Evaluation of the surface integral $\iint_S z^2 dS$ where S is part of the parabaloid $x = y^2 + z^2$ given by $0 \le x \le 1$

Published on 28 Mar 2026 - 5:23

22

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Calculate vectorial integrals by their theorems

Published on 06 May 2020 - 3:50

123

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Is it mandatory for $F$ to be divergence free to have surface independent property?

Published on 28 Mar 2026 - 5:23

175

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volume of an infinite dimensional ball.

Published on 06 May 2020 - 20:23

48

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Need help evaluating a surface integral

Published on 28 Mar 2026 - 5:20

83

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Expressing common vector operations in terms of quaternions

Published on 29 Mar 2026 - 18:17

List Question

Electric field of a charge uniformly distributed on a plane

Outward unit normal vector of $z=0$

how does one prove $\operatorname{tr}(A^2(A^2)^T) \le\operatorname{tr}(AA^T)^2$?

Gradient of ${\bf u}^T(x) {\bf A} {\bf u}(x)$

Evaluating the double integral of a cross product (to prove Gaussian Curvature)

Evaluating surface integral where vector field is undefined

How to find all the function of $f$ such that $\vec{\nabla}f=\vec{F}$?

Scalar fields proof

surface of sphere $x^2+y^2+z^2=25$ below the plane $z=4$

Evaluation of the surface integral $\iint_S z^2 dS$ where S is part of the parabaloid $x = y^2 + z^2$ given by $0 \le x \le 1$

Calculate vectorial integrals by their theorems

Is it mandatory for $F$ to be divergence free to have surface independent property?

volume of an infinite dimensional ball.

Need help evaluating a surface integral

Expressing common vector operations in terms of quaternions

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