List questions from vector-analysis

Published on 04 May 2014 - 18:01

163

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Interior Products

Published on 27 Mar 2026 - 0:01

601

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Intersection curve between a circle and a plane - Stokes theorem

Published on 05 May 2014 - 10:38

53

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Field of vector fields

Published on 28 Mar 2026 - 4:22

85

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Line Integrals in $\mathbb{R}^n$ and Differential 1-Forms

Published on 06 May 2014 - 22:32

107

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Line Integral Help (Vector Calculus)

Published on 07 May 2014 - 0:05

972

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Proof: Force always perpendicular and motion in a plane implies that the trajectory is a circle

Published on 01 Apr 2026 - 0:08

149

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Line intergral around a closed path

Published on 09 May 2014 - 7:39

33

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Prove that if $\bigtriangledown \times F=0,$ then $\exists u$ such that $F= \bigtriangledown u$

Published on 09 May 2014 - 21:21

569

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Let $d(fw)=0$ for $f\neq 0$ show that $w \wedge dw =0$ where w is a 1-form.

Published on 10 May 2014 - 14:48

35

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Let $\alpha= f\,dx_1 \wedge \cdots\wedge dx_n$; where $f$ is continuous on $A$. Show that $\int_ \Phi \alpha =\int_ \Phi f$

Published on 10 May 2014 - 15:19

36

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$w$ is a form, find $\alpha$ s.t $d \alpha=w$

Published on 11 May 2014 - 15:13

96

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Vectors and Forces

Published on 12 May 2014 - 4:07

324

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Integral/Vector calculus $\oint_{\partial S} u \vec \nabla v \cdot d \vec \lambda=\int_S (\vec \nabla u)\times (\vec \nabla v)\cdot d\vec S.$

Published on 27 Mar 2026 - 16:21

598

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integrals of vector fields that yield vectors, not scalars

Published on 12 May 2014 - 18:22

List Question

evaluating a flux integral

Interior Products

Intersection curve between a circle and a plane - Stokes theorem

Field of vector fields

Line Integrals in $\mathbb{R}^n$ and Differential 1-Forms

Line Integral Help (Vector Calculus)

Proof: Force always perpendicular and motion in a plane implies that the trajectory is a circle

Line intergral around a closed path

Prove that if $\bigtriangledown \times F=0,$ then $\exists u$ such that $F= \bigtriangledown u$

Let $d(fw)=0$ for $f\neq 0$ show that $w \wedge dw =0$ where w is a 1-form.

Let $\alpha= f\,dx_1 \wedge \cdots\wedge dx_n$; where $f$ is continuous on $A$. Show that $\int_ \Phi \alpha =\int_ \Phi f$

$w$ is a form, find $\alpha$ s.t $d \alpha=w$

Vectors and Forces

Integral/Vector calculus $\oint_{\partial S} u \vec \nabla v \cdot d \vec \lambda=\int_S (\vec \nabla u)\times (\vec \nabla v)\cdot d\vec S.$

integrals of vector fields that yield vectors, not scalars

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