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Math Help - Cross Product

  1. #1
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    Cross Product

    Let
    a, b, c be non-zero vectors. Explain geometrically why the equation ab=ac does not necessarily imply that b = c.
    If
    a b = a c and a b = a c, would it follow that b = c?

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  2. #2
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    HINT:
    Consider the vectors A=\left\langle {1,2,3} \right\rangle ,B=\left\langle {2,4,6} \right\rangle ,C=\left\langle { - 1, - 2, - 3} \right\rangle.
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