How to find Euler's angles?

by theboss2012
Tags: euler's, rotation
theboss2012 is offline
Feb6-13, 07:40 AM
P: 1

I have read about Euler's angles and matrices, including zxz,zyz, etc . I am not obliged to use a specific rotation but rather I want to figure out what angles I need to use for alpha,theta, gamma in the specific matrix. For example, I have a vector from the centre with vertex x,y,z of (0,0,15), I want to rotate it to (3,-12,15), what angles should I use or how can I obtain these angles ?

If let's say I choose zyz, i am finding difficulties finding the corresponding angles after the first x-y plane rotation.

Please disregard the scaling factor and just consider the orientation.

Look forward to hearing from you
Phys.Org News Partner Physics news on
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
MikeGomez is offline
Feb6-13, 08:12 AM
MikeGomez's Avatar
P: 172
Use quaternion to Euler convertion. Doing a search in Google will produce hundreds of examples. Here are just a few...

Register to reply

Related Discussions
How to get Euler angles Calculus 3
so (3) or su(2) and Euler angles Classical Physics 0
Euler angles components Calculus 2
Euler angles of rotation about x=y=z Differential Geometry 1
euler angles Advanced Physics Homework 0