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Classical Dynamics of Particles & Systems

  1. Jul 18, 2013 #1
    This is an image of Classical Dynamics of Particles & Systems, chapter 1

    In deriving the equations for the rotation of a coordinate system

    wuNFqPU.jpg

    I understand the equations 1.2a & 1.2b b, but why is the projection of x2 on the x'1 equal to ab +bc

    and why is the vector de equal to the vector Of?

    I tried the whole afternoon drawing triangles, writing vectors as one another, cosinus,sinus rules, congruent triangles everything I could think off, yet I can't prove it.
    It seems obvious, but I want proof :D

    (how to resize my image)

    (btw, this is self-study, no homework or anything like that)
     
  2. jcsd
  3. Jul 18, 2013 #2
    What does the asterisk in the problem statement indicate?
     
  4. Jul 19, 2013 #3

    Stephen Tashi

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    I don't know the answers to your questions. It's worth reading the errata for the book, even if it isn't relevant to this particular problem: http://astro.physics.sc.edu/Goldstein/
     
  5. Aug 2, 2013 #4
    It's not Goldstein. But from Marion Jerry, but ok, will check errata.

    Just saying that x1,x2,x3 are equivalent to x,y,z in the Cartesian plane.
     
  6. Aug 2, 2013 #5

    Stephen Tashi

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  7. Aug 3, 2013 #6
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