List questions from vector-analysis

Published on 10 Apr 2026 - 22:39

387

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Prove that $\nabla\times (a\vec{A})= a(\nabla \times \vec{A})+(\nabla a)\times A$

Published on 16 Apr 2026 - 6:15

303

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Show $\left(\vec{A}\cdot\nabla\right)\vec{A} = \nabla\left( \frac{A^2}{2} \right) - \vec{A}\times\left(\nabla\times\vec{A}\right)$

Published on 17 Apr 2026 - 8:14

15.1k

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Closed surface integral of the surface's normal vector

Published on 13 Apr 2026 - 18:29

3.3k

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Textbook for Vector Calculus

Published on 14 Apr 2026 - 0:20

123

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tensor identity for cross product

Published on 11 Apr 2026 - 19:50

1k

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Helmholtz theorem

Published on 24 Apr 2026 - 6:04

229

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A thief and a policeman

Published on 12 Apr 2026 - 7:52

59

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Rotation matrix according vector

Published on 15 Apr 2026 - 12:56

1.4k

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Material Derivative of the Gradient of a Scalar Field

Published on 29 Mar 2026 - 12:31

158

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Vector equation of line containing point and perpendicular to plane

Published on 16 Apr 2026 - 3:47

74

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Physical difference between $\nabla^\bot\cdot u=0$, and $\nabla\cdot u^\bot=0$ and the existence of a scalar potential

Published on 29 Mar 2026 - 14:02

116

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Calculate the vector surface integral

Published on 15 Apr 2026 - 5:10

105

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Show that the vector field $\vec F=(xf(u),xg(u))$ is not conservative

Published on 04 Apr 2026 - 8:42

161

Views

Show that the vector field $\vec F=(yf(u),xg(u))$ has no potential

Published on 04 Apr 2026 - 8:42

List Question

Proof verification of the Triangle Inequality for $k$ vectors?

Prove that $\nabla\times (a\vec{A})= a(\nabla \times \vec{A})+(\nabla a)\times A$

Show $\left(\vec{A}\cdot\nabla\right)\vec{A} = \nabla\left( \frac{A^2}{2} \right) - \vec{A}\times\left(\nabla\times\vec{A}\right)$

Closed surface integral of the surface's normal vector

Textbook for Vector Calculus

tensor identity for cross product

Helmholtz theorem

A thief and a policeman

Rotation matrix according vector

Material Derivative of the Gradient of a Scalar Field

Vector equation of line containing point and perpendicular to plane

Physical difference between $\nabla^\bot\cdot u=0$, and $\nabla\cdot u^\bot=0$ and the existence of a scalar potential

Calculate the vector surface integral

Show that the vector field $\vec F=(xf(u),xg(u))$ is not conservative

Show that the vector field $\vec F=(yf(u),xg(u))$ has no potential

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