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Thread: Triangle / Vector Properties

  1. #1
    May 2011

    Triangle / Vector Properties

    Ok so the question goes like this:

    a + b + c = 0

    where a, b and c are three vectors

    i) Show that a x b = b x c = c x a

    ii) Explain what this means geometrically. (Your answer should refer to a triangle.)

    I've done part i) but now I'm stuck on ii). I know that a x b, b x c, c x a refers to perpendiculars to each side of the triangle. However I don't see the significance of equal perpendiculars. Can anyone explain ii) to me?
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  2. #2
    A Plied Mathematician
    Jun 2010
    CT, USA
    See Post # 2 here.
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