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How to find Euler's angles?

  1. Feb 6, 2013 #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
  2. jcsd
  3. Feb 6, 2013 #2
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