Collinear vectors

  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. Hurkyl

    Hurkyl 15,987
    Staff Emeritus
    Science Advisor
    Gold Member

    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
    w = α v
  4. To be specific, vectors are collinear when their lines of action are parallel to each other.
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