List questions from vector-analysis

Published on 12 Apr 2026 - 4:55

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Why is $[\partial f/\partial x,2\partial f/\partial y,\partial f/\partial x]$ NOT a vector?

Published on 14 Apr 2026 - 3:20

838

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Evaluating a double integral over a hemisphere

Published on 08 Apr 2026 - 22:51

2.8k

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Chain rule for the curl of a vector-valued function

Published on 12 Apr 2026 - 1:07

1.5k

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Let $f: A \to \mathbb{R^n}$ be of class $C^r$; $Df(x)$ is non-singular for $x\in A$. Show that even if $f$ is not 1-1, the set $B=f(A)$ is open.

Published on 14 Apr 2026 - 16:31

1.2k

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Finding the image of multivariable functions

Published on 11 Apr 2026 - 11:10

828

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Is the Mass flow rate (Mass flux) a scalar quantity?

Published on 13 Apr 2026 - 10:39

4.9k

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Gram-Schmidt procedure on functions

Published on 11 Apr 2026 - 3:04

555

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If the vectors $\vec{a}$, $\vec{b}$ and $\vec{c}$ are coplanar, then find the following determinant

Published on 15 Apr 2026 - 19:51

42

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Show function is a continuous function - Vector Calculus

Published on 17 Apr 2026 - 3:54

763

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Application of Implicit Function Theorem in Munkres Analysis on Manifolds

Published on 09 Apr 2026 - 1:47

98

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Verifying Vector Operation Identities

Published on 16 Apr 2026 - 7:43

432

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Definition of divergence operator

Published on 11 Apr 2026 - 14:21

40

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Finding a line integral by conservative field extension

Published on 12 Apr 2026 - 19:27

1.2k

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Intuition of Greens Theorem in the plane

Published on 13 Apr 2026 - 15:56

List Question

scalar function's value - choice of coordinates

Why is $[\partial f/\partial x,2\partial f/\partial y,\partial f/\partial x]$ NOT a vector?

Evaluating a double integral over a hemisphere

Chain rule for the curl of a vector-valued function

Let $f: A \to \mathbb{R^n}$ be of class $C^r$; $Df(x)$ is non-singular for $x\in A$. Show that even if $f$ is not 1-1, the set $B=f(A)$ is open.

Finding the image of multivariable functions

Is the Mass flow rate (Mass flux) a scalar quantity?

Gram-Schmidt procedure on functions

If the vectors $\vec{a}$, $\vec{b}$ and $\vec{c}$ are coplanar, then find the following determinant

Show function is a continuous function - Vector Calculus

Application of Implicit Function Theorem in Munkres Analysis on Manifolds

Verifying Vector Operation Identities

Definition of divergence operator

Finding a line integral by conservative field extension

Intuition of Greens Theorem in the plane

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