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Math Help - Lenght of a vector with square root

  1. #1
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    [SOLVED] Lenght of a vector with square root

    Hello, how do I find the lenght of a vector when one of the coords is given with a square root, I know that I should use Pythagoras, but I am not sure how to handle it when the vector is given with a square root like this:

    Vector a = Square root 4, 8
    Last edited by Artifact; August 24th 2011 at 07:00 AM.
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  2. #2
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    Re: Lenght of a vector with square root

    Quote Originally Posted by Artifact View Post
    Hello, how do I find the lenght of a vector when one of the coords is given with a square root, I know that I should use Pythagoras, but I am not sure how to handle it when the vector is given with a square root like this:
    Vector a = Square root 4, 8
    If \vec{v}=(\sqrt{6},\sqrt{3}) then \|\vec{v}\|=\sqrt{(\sqrt{6})^2+\sqrt{3})^2}=3.
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  3. #3
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    Re: Lenght of a vector with square root

    I mean if I have something like this, how do I calc the length of that vector

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    Re: Lenght of a vector with square root

    Quote Originally Posted by Artifact View Post
    I mean if I have something like this, how do I calc the length of that vector
    You do the same way.
    For any vector \vec{a}=\left( {\begin{array}{c}   p  \\   q  \\ \end{array} } \right), the length \|\vec{a}\|=\sqrt{p^2+q^2}.

    Square each coordinate, add together, then find the square root.
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  5. #5
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    Re: Lenght of a vector with square root

    Ah ok, thank you very much
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