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How does one explicitly compute the result of a rotation on a higher dimensional vector?

score 85 · Answer 1 · 2026-04-12 12:08:22

85

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How does one explicitly compute the result of a rotation on a higher dimensional vector?

Published on 12 Apr 2026 - 12:08

score 461 · Answer 2 · 2026-04-15 19:45:32

461

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Projection of vector onto another vector alternate equation

Published on 15 Apr 2026 - 19:45

score 2.9k · Answer 3 · 2026-04-17 02:41:45

2.9k

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Derivative of exponential mapping of $\mathbb{SE}(3)$ and $\mathbb{SIM(3)}$ in vector/matrix of $\mathfrak{se}(3)$ and $\mathfrak{sim}(3)$.

Published on 17 Apr 2026 - 2:41

score 1.7k · Answer 4 · 2026-04-08 04:58:43

1.7k

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What kind of math do I study to learn about vectors?

Published on 08 Apr 2026 - 4:58

score 72 · Answer 5 · 2026-04-09 17:40:05

72

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How to calculate angle for a rocket trying to hit another rocket

Published on 09 Apr 2026 - 17:40

score 1.2k · Answer 6 · 2026-04-12 08:46:18

1.2k

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Question involving Householder Matrix

Published on 12 Apr 2026 - 8:46

score 3.4k · Answer 7 · 2026-04-13 00:00:41

3.4k

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Connection Between the Traditional Equation of a Line ($y = mx + c$) and the Vector Equation of a Line

Published on 13 Apr 2026 - 0:00

score 192 · Answer 8 · 2026-04-14 20:26:27

192

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Generate Random Sparse Vectors at a Given Distance on the Unit Hypersphere

Published on 14 Apr 2026 - 20:26

score 1.8k · Answer 9 · 2026-04-12 08:02:08

1.8k

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When finding the equation of a line through pairs of points in space, does the orientation of the line matter?

Published on 12 Apr 2026 - 8:02

score 110 · Answer 10 · 2026-04-14 20:38:29

110

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Vectors: Why $a_1\mathbf{x}+b_1\mathbf{y}+c_1\mathbf{z}=a_2\mathbf{x}+b_2\mathbf{y}+c_2\mathbf{z}\implies a_1=b_1$ etc?

Published on 14 Apr 2026 - 20:38

score 93 · Answer 11 · 2026-04-11 08:20:19

93

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Difficulty solving a two part vectors question

Published on 11 Apr 2026 - 8:20

score 303 · Answer 12 · 2026-04-14 18:42:17

303

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Why do the columns (and rows) of the character table of $S_3$ not seem to be orthogonal (or of length 6)?

Published on 14 Apr 2026 - 18:42

score 1.5k · Answer 13 · 2026-04-16 13:02:04

1.5k

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A linear map is an isomorphism if and only if the determinant is nonzero.

Published on 16 Apr 2026 - 13:02

score 387 · Answer 14 · 2026-04-12 02:02:31

387

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Finding the Partial Derivatives, given three Directional Derivatives

Published on 12 Apr 2026 - 2:02

score 76 · Answer 15 · 2026-05-04 12:24:21

76

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Does the expression $\sum_{i=1}^n \sum_{j=1}^n a_{ij}b_{ij} $ have a name?

Published on 04 May 2026 - 12:24

List Question

How does one explicitly compute the result of a rotation on a higher dimensional vector?

Projection of vector onto another vector alternate equation

Derivative of exponential mapping of $\mathbb{SE}(3)$ and $\mathbb{SIM(3)}$ in vector/matrix of $\mathfrak{se}(3)$ and $\mathfrak{sim}(3)$.

What kind of math do I study to learn about vectors?

How to calculate angle for a rocket trying to hit another rocket

Question involving Householder Matrix

Connection Between the Traditional Equation of a Line ($y = mx + c$) and the Vector Equation of a Line

Generate Random Sparse Vectors at a Given Distance on the Unit Hypersphere

When finding the equation of a line through pairs of points in space, does the orientation of the line matter?

Vectors: Why $a_1\mathbf{x}+b_1\mathbf{y}+c_1\mathbf{z}=a_2\mathbf{x}+b_2\mathbf{y}+c_2\mathbf{z}\implies a_1=b_1$ etc?

Difficulty solving a two part vectors question

Why do the columns (and rows) of the character table of $S_3$ not seem to be orthogonal (or of length 6)?

A linear map is an isomorphism if and only if the determinant is nonzero.

Finding the Partial Derivatives, given three Directional Derivatives

Does the expression $\sum_{i=1}^n \sum_{j=1}^n a_{ij}b_{ij} $ have a name?

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