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Math Help - Vector problem (just look at the link and skip my explanation)

  1. #1
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    Vector problem (just look at the link and skip my explanation)

    Vector question:
    Find an example disproving that II(any real #)XII (as in the length of any vector X where length and height are multiplied by any real number) is equal to (any real #)IIXII (as in any real number multiplied by the overal length of the vector X).

    For example the vector <3,4> has a length of 5 multiplied by the real number 2 is = 10. And the vector <6,8> (as in the previous vector multiplied by 2) has a length of 10 also. But I need an example where that is not true.

    here is a link to the questions it is # 13

    http://maven.smith.edu/~callahan/vectors.pdf

    thanks a lot
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  2. #2
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    Focus on \lambda. You want to look for a \lambda that will make equality fail. Use your example vector <3, 4> and try different real numbers for \lambda, computing separately each side of the equality you want to break. If you use a decent variety of \lambda's, you should quickly come across the example you want (there's a lot of 'em).
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