List questions from vector-analysis

Published on 16 Apr 2026 - 13:06

23

Views

the cosine between two vectors represented by the XYZ component vectors.

Published on 15 Apr 2026 - 8:40

66

Views

Distance between $P$ and a line in $\mathbb{R}^3$

Published on 16 Apr 2026 - 18:50

78

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Matrix Vector Product, as a Derivative?

Published on 19 Apr 2026 - 16:27

112

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determine $f(r)$ so that $\nabla \bullet \mathbf{F} = 0$

Published on 17 Apr 2026 - 9:01

332

Views

Dot Product of Gradient and Constant Vector

Published on 16 Apr 2026 - 0:07

163

Views

Derivative of Quadratic form using chain rule

Published on 13 Apr 2026 - 5:41

102

Views

Working out Vector Variances using index notation

Published on 15 Apr 2026 - 7:32

74

Views

Value of a line integral

Published on 10 Apr 2026 - 7:59

319

Views

If C is any simple closed piecewise-smooth curve in $\mathbb{R}^3$, what is the value of the line integral?

Published on 15 Apr 2026 - 0:28

241

Views

Using Stokes' theorem for evaluation of a line integral

Published on 11 Apr 2026 - 4:57

866

Views

Gradient with a change of variables?

Published on 13 Apr 2026 - 17:42

144

Views

Can surface integrals be defined in all of $\mathbb{R}^{3}$?

Published on 12 Apr 2026 - 3:30

679

Views

Showing that $ (v \cdot \nabla) v = (\nabla \times v) \times v + \frac{1}{2} \nabla (v \cdot v)$ (Fluid Mechanics , Feynman)

Published on 14 Apr 2026 - 10:27

52

Views

Showing a Vector field is irrotational, given it has zero flux through the surface, zero divergance, and a zero laplacian.

Published on 16 Apr 2026 - 9:39

List Question

Area of a graph above a region given particular values.

the cosine between two vectors represented by the XYZ component vectors.

Distance between $P$ and a line in $\mathbb{R}^3$

Matrix Vector Product, as a Derivative?

determine $f(r)$ so that $\nabla \bullet \mathbf{F} = 0$

Dot Product of Gradient and Constant Vector

Derivative of Quadratic form using chain rule

Working out Vector Variances using index notation

Value of a line integral

If C is any simple closed piecewise-smooth curve in $\mathbb{R}^3$, what is the value of the line integral?

Using Stokes' theorem for evaluation of a line integral

Gradient with a change of variables?

Can surface integrals be defined in all of $\mathbb{R}^{3}$?

Showing that $ (v \cdot \nabla) v = (\nabla \times v) \times v + \frac{1}{2} \nabla (v \cdot v)$ (Fluid Mechanics , Feynman)

Showing a Vector field is irrotational, given it has zero flux through the surface, zero divergance, and a zero laplacian.

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