Question

Does a transformation that rotates a 3D shape around 2 axis simultaneously have any eigenvectors?

score 27 · Answer 1 · 2023-06-10 12:58:04

27

Views

Does a transformation that rotates a 3D shape around 2 axis simultaneously have any eigenvectors?

Published on 10 Jun 2023 - 12:58

score 149 · Answer 2 · 2026-03-30 20:28:34

149

Views

Misunderstanding of quaternion multiplication rules

Published on 30 Mar 2026 - 20:28

score 54 · Answer 3 · 2026-03-30 20:28:37

54

Views

Algebraically showing 2 quaternions compose a new rotation

Published on 30 Mar 2026 - 20:28

score 57 · Answer 4 · 2023-06-14 02:19:07

57

Views

Prove that holomorphic functions preserve their norms under rotations.

Published on 14 Jun 2023 - 2:19

score 17 · Answer 5 · 2026-03-14 07:24:00

17

Views

"Canonically" rotate a path/trajectory/sequence of points

Published on 14 Mar 2026 - 7:24

score 75 · Answer 6 · 2026-03-28 22:08:27

75

Views

Generate a randomly-oriented vector $\vec{w}$ at a specific angle $\theta$ from another vector $\vec{v}$ in $\mathbb{R}^n$

Published on 28 Mar 2026 - 22:08

score 259 · Answer 7 · 2023-06-27 01:56:27

259

Views

Matrix of rotation in $\mathbb R^{3}$

Published on 27 Jun 2023 - 1:56

score 33 · Answer 8 · 2023-06-29 08:21:32

33

Views

Knowing the equation of the tangent to a rotated curve, how to find the point of tangency.?

Published on 29 Jun 2023 - 8:21

score 37 · Answer 9 · 2023-06-30 00:09:23

37

Views

Matrix Representaions of Binary Icosahedral Group's Element

Published on 30 Jun 2023 - 0:09

score 156 · Answer 10 · 2026-03-30 20:22:43

156

Views

Why doesn't converting a difference quaternion to euler angles give angular velocity?

Published on 30 Mar 2026 - 20:22

score 148 · Answer 11 · 2023-06-30 14:55:30

148

Views

When two perpendicular lines are rotated about each other (out of their common plane), what is the new angle between them?

Published on 30 Jun 2023 - 14:55

score 72 · Answer 12 · 2026-03-25 20:09:43

72

Views

Why does $\boldsymbol{\nabla} \times \textbf{E}=\textbf{0}$ imply $\boldsymbol{E_2}^{\parallel}=\boldsymbol{E_1}^{\parallel}$?

Published on 25 Mar 2026 - 20:09

score 28 · Answer 13 · 2026-03-26 09:40:59

28

Views

Formula for Transformation of Polynomial Coefficients under Rotation

Published on 26 Mar 2026 - 9:40

score 117 · Answer 14 · 2023-07-05 15:00:55

117

Views

Replacing a double rotation by a single rotation?

Published on 05 Jul 2023 - 15:00

score 4.2k · Answer 15 · 2026-03-29 18:30:39

4.2k

Views

Why do complex numbers lend themselves to rotation?

Published on 29 Mar 2026 - 18:30

List Question

Does a transformation that rotates a 3D shape around 2 axis simultaneously have any eigenvectors?

Misunderstanding of quaternion multiplication rules

Algebraically showing 2 quaternions compose a new rotation

Prove that holomorphic functions preserve their norms under rotations.

"Canonically" rotate a path/trajectory/sequence of points

Generate a randomly-oriented vector $\vec{w}$ at a specific angle $\theta$ from another vector $\vec{v}$ in $\mathbb{R}^n$

Matrix of rotation in $\mathbb R^{3}$

Knowing the equation of the tangent to a rotated curve, how to find the point of tangency.?

Matrix Representaions of Binary Icosahedral Group's Element

Why doesn't converting a difference quaternion to euler angles give angular velocity?

When two perpendicular lines are rotated about each other (out of their common plane), what is the new angle between them?

Why does $\boldsymbol{\nabla} \times \textbf{E}=\textbf{0}$ imply $\boldsymbol{E_2}^{\parallel}=\boldsymbol{E_1}^{\parallel}$?

Formula for Transformation of Polynomial Coefficients under Rotation

Replacing a double rotation by a single rotation?

Why do complex numbers lend themselves to rotation?

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