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Math Help - Proof with vectors

  1. #1
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    Proof with vectors

    hi,

    I've the following proof with vectors that I don't know how to prove it. Can anyone help me?

    1 - The problem is:

    For which alpha belongs R, does alpha(1,1,1)^T - (3,2,4)^T have length sqroot(6)?

    R - is the real numbers domain.
    The matrix showed are transposed.
    alpha - is the greek letter


    2 - How do I put math characters in the posts?


    Thanks,
    Pedro
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  2. #2
    MHF Contributor

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    <br />
\alpha \left[ \begin{gathered}<br />
1 \hfill \\<br />
1 \hfill \\<br />
1 \hfill \\ <br />
\end{gathered} \right] - \left[ \begin{gathered}<br />
3 \hfill \\<br />
2 \hfill \\<br />
4 \hfill \\ <br />
\end{gathered} \right] = \left[ \begin{gathered}<br />
\alpha - 3 \hfill \\<br />
\alpha - 2 \hfill \\<br />
\alpha - 4 \hfill \\ <br />
\end{gathered} \right] \;\&\;\sqrt {\left( {\alpha - 3} \right)^2 + \left( {\alpha - 2} \right)^2 + \left( {\alpha - 4} \right)^2 } = \sqrt 6
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