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Vector geometry and trigonometry

  1. Sep 13, 2008 #1
    A friend needed help with his linear algebra assignment, but after looking at it a long time, I can't say I can help him very much. (Apparently they are working with Van Koch snowflakes.)

    1. The problem statement, all variables and given/known data
    "Given the points P and Q, derive formulae for A, B and C using vector geometry."

    2. Relevant equations
    |PA| = |AB| = |AC| = |BC| = |CQ|
    (ABC is therefore an equilateral triangle.)

    3. The attempt at a solution
    PA is easy, of course, since it's just (1/3)(PQ), and PC is just (2/3)(PQ).

    But how do you define the vector PB from what's given? (I tried by vector addition, adding a vector PA rotated 60 degrees to PA, but I couldn't make it a comprehensible, general formula.)
  2. jcsd
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