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Completeness of a set of basis vectors in 3D Euclidean space.

  1. Oct 15, 2012 #1
    1. The problem statement, all variables and given/known data

    The problem is Exercise 2 in the picture

    [PLAIN]http://postimage.org/image/3ou3x1sh7/ [Broken][/PLAIN]

    2. Relevant equations

    The hint says: can you express and three-dimensional vector in terms of just two linearly independent vectors?

    3. The attempt at a solution

    I have no idea where to begin...
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Oct 15, 2012 #2
    does this have to do with gram-schmidt processes? Any tips on just how to begin? I find my hint very confusing because this is a meth methods in physics class that moves at a pace faster than an F1 fighter jet :(
     
  4. Oct 16, 2012 #3

    HallsofIvy

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    What is the dimension of Euclidean three-space? What is the definition of dimension?
     
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