Question

Proving vector calculus identity $\nabla \times (\mathbf a\times \mathbf b) =\cdots$ using Levi-Civita symbol

score 11k · Answer 1 · 2026-04-14 18:25:38

11k

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Proving vector calculus identity $\nabla \times (\mathbf a\times \mathbf b) =\cdots$ using Levi-Civita symbol

Published on 14 Apr 2026 - 18:25

score 163 · Answer 2 · 2026-04-10 14:03:32

163

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what is a vector of polyhedron?

Published on 10 Apr 2026 - 14:03

score 151 · Answer 3 · 2026-04-16 07:23:14

151

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problem understanding $a\times((b\cdot b)a-(b\cdot a)b)=-a\cdot ba\times b$

Published on 16 Apr 2026 - 7:23

score 934 · Answer 4 · 2026-04-10 08:42:58

934

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How are vectors defined in terms of sequences?

Published on 10 Apr 2026 - 8:42

score 109 · Answer 5 · 2026-04-09 07:39:10

109

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Calculating the following integral .

Published on 09 Apr 2026 - 7:39

score 126 · Answer 6 · 2026-04-14 05:53:46

126

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Derivative of a vector function

Published on 14 Apr 2026 - 5:53

score 356 · Answer 7 · 2026-04-14 04:40:39

356

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Calculate the following contour integral.

Published on 14 Apr 2026 - 4:40

score 261 · Answer 8 · 2026-04-15 21:06:34

261

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Basic Vector Calculus Problem

Published on 15 Apr 2026 - 21:06

score 31.2k · Answer 9 · 2026-04-15 02:28:16

31.2k

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Find the directions in which the directional derivative has the value 1

Published on 15 Apr 2026 - 2:28

score 208 · Answer 10 · 2026-04-13 05:43:37

208

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Smooth Monotone $\mathbb{R}^3$ curve with constant (nontrivial) curvature

Published on 13 Apr 2026 - 5:43

score 98.2k · Answer 11 · 2026-03-30 16:39:19

98.2k

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Why is gradient the direction of steepest ascent?

Published on 30 Mar 2026 - 16:39

score 220 · Answer 12 · 2026-04-14 18:09:54

220

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Flow in a vector field

Published on 14 Apr 2026 - 18:09

score 482 · Answer 13 · 2026-04-17 00:28:11

482

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proof for $[\vec{a}\cdot (\vec{b} \times \vec{c})]\vec{a}=(\vec{a}\times\vec{b})\times(\vec{a}\times\vec{c})$

Published on 17 Apr 2026 - 0:28

score 1.4k · Answer 14 · 2026-04-16 04:18:57

1.4k

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How would one use matrices to find a normal unit vector?

Published on 16 Apr 2026 - 4:18

score 1k · Answer 15 · 2026-04-16 03:32:16

1k

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Find if possible an orthogonal unit vector at: 2i + 3j - k and - 2i - 3j + 4k

Published on 16 Apr 2026 - 3:32

List Question

Proving vector calculus identity $\nabla \times (\mathbf a\times \mathbf b) =\cdots$ using Levi-Civita symbol

what is a vector of polyhedron?

problem understanding $a\times((b\cdot b)a-(b\cdot a)b)=-a\cdot ba\times b$

How are vectors defined in terms of sequences?

Calculating the following integral .

Derivative of a vector function

Calculate the following contour integral.

Basic Vector Calculus Problem

Find the directions in which the directional derivative has the value 1

Smooth Monotone $\mathbb{R}^3$ curve with constant (nontrivial) curvature

Why is gradient the direction of steepest ascent?

Flow in a vector field

proof for $[\vec{a}\cdot (\vec{b} \times \vec{c})]\vec{a}=(\vec{a}\times\vec{b})\times(\vec{a}\times\vec{c})$

How would one use matrices to find a normal unit vector?

Find if possible an orthogonal unit vector at: 2i + 3j - k and - 2i - 3j + 4k

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