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Homework Help: Theory of relativity

  1. Dec 5, 2014 #1
    1. The problem statement, all variables and given/known data
    show that ## V\prime=\sqrt{ V_{x}^\prime{ ^2} + V_{y}^\prime{ ^2} + V_{z}^\prime{ ^2}} = c## -------------1


    2. Relevant equations
    ##V_{x}^\prime{ ^2}=\frac{V_x - V }{1-{\frac{V V_x}{c^2}}}## -----------------2

    ##V_{y}^\prime{ ^2}=\frac{V_y \sqrt{1-{\frac{V^2}{c^2}}}}{1-{\frac{V V_x}{c^2}}}## ------------3

    ##V_{z}^\prime{ ^2}=\frac{V_z \sqrt{1-{\frac{V^2}{c^2}}}}{1-{\frac{V V_x}{c^2}}}## -----------4

    3. The attempt at a solution

    i tried to just substitute the 3 equations (2,3,4) in eq. 1 but i didnt get the right answer
     
  2. jcsd
  3. Dec 5, 2014 #2

    Simon Bridge

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    Science Advisor
    Homework Helper

    There's not enough information. Usually there is some sort of context since, in general, the magnitude of the 3-velocity is not c.
    Work through in order - starting from the full problem statement.
     
  4. Dec 6, 2014 #3
    Ok thank you for your answer. I must collect some more information and will post my results if i get some
     
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