Talk:Rotation matrix#-1.2C -1.2C -1.2C -1 example

Don't see why the 2x2 matrix given in the introduction applies to the x-y plane specifically. It applies to any 2D subspace with a defined origin/axis surely.

The rotation matrices about the x, y, and z axis do not seem to be equate to the "generator" written to their right (the rotation matrices with the matrix exponentials). It seems that one is the transpose of the other. Can someone please explain?

Thanks- James

> (Bar-Itzhack 2000) (Note: formulation of the cited article is post-multiplied, works with row vectors).

Unless I misread the matrix, the matrix in question is symmetric, and so should have left and right eigenvectors that are the same (aside from the transpose, of course). 2600:1700:3D2D:8810:5CCE:ABD5:83C0:8045 (talk) 22:28, 3 November 2023 (UTC)

This article contains a number of full-stops and commas at the end of the equations. To me the full-stops look like a mistake in the equation. I would be inclined to either, remove them all together, or at least move them outside of the $tag.217.28.11.247(talk)\; 08:42,\; 31\; December\; 2023\; (UTC)$

:Please, don't do that, as this goes against MOS:MATH#PUNC. D.Lazard (talk) 09:00, 31 December 2023 (UTC)

Looking at the General 3D rotation case, I can’t seem to generate the same final transformation matrix as indicated. Can you show more of the details? In particular the “ij" = 12, 13, 22, & 23 matrix elements, containing many trig factors and terms, is a problem. For a R to L multiplication, you first mult the pitch matrix x the yaw matrix, right? Can you show that intermediate matrix? Then you perform roll matrix x the intermediate matrix to get the final transformation, right?. Found my error. Also applied the associative property to perform:

( roll * pitch ) * yaw.

But also, a bit confused why the angles for extrinsic are α, β, γ, about axes x, y, z ( respectively ?) while for intrinsic, they are α, β, γ, about axes z, y, x, respectively. I understand the multiplication order is reversed between intrinsic and extrinsic but the angles associated with each axis should be the same, right? Thanks. 2601:647:6480:1D20:16C:3AED:F2BB:97EF (talk) 15:51, 2 October 2024 (UTC)

;) {{pb}} see http://nghiaho.com/?page_id=846 95.91.233.242 (talk) 19:52, 2 June 2025 (UTC)

: There's a bit of discussion at {{alink| Euler angles}}. Perhaps there could be something a bit more explicit here; you can find more detail about this at {{slink|Euler angles#Rotation matrix}}. Feel free to make some concrete suggestions. –jacobolus (t) 19:59, 2 June 2025 (UTC)

According to the right-hand rule, it's clear that R_z(\theta) has the proper rotation direction, but R_y(\theta) is clearly backwards, and R_x(\theta) is ambiguous due to the arrow placement.

This should be fixed. DlittlemanDungeon (talk) 18:13, 13 June 2025 (UTC)

:Good catch. I agree the circular arrows should all point in the direction of conventional positive angles. Does anyone feel like fixing this or making an alternate image? –jacobolus (t) 08:15, 14 June 2025 (UTC)