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Collinear vectors

  1. Sep 27, 2003 #1
    I couldn't solve this problem guys:

    Let vectors x, y, z be non zero vectors, no two of which are collinear. Find their sum if x+y is collinear with z and if y+z is collinear with x.

    Also, what does a collinear vector mean?
     
  2. jcsd
  3. Sep 27, 2003 #2

    Hurkyl

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    Two vectors are collinear if they lie along the same line.

    The easiest algebraic description of collinearity is that two vectors v and w are collinear if and only if one is a scalar multiple of the other. That is, there exists a number α such that:

    v = α w
    or
    w = α v
     
  4. Feb 26, 2010 #3
    To be specific, vectors are collinear when their lines of action are parallel to each other.
     
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