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Math Help - Proof (vectors, norm, and dot product)

  1. #1
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    Proof (vectors, norm, and dot product)

    Never-mind, I found the problem.
    Last edited by elitethut; November 12th 2009 at 04:12 PM.
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  2. #2
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    Quote Originally Posted by elitethut View Post
    Hi everyone !

    I want to solve the following:

    1/4||\vec{u}+\vec{v}||^2-1/4||\vec{u}-\vec{v}||^2=\vec{u} \cdot \vec{v}

    I have no idea how to start this proof...anyone can help ??


    Thanks !


    Definition: ||\vec{u}||^2:=\vec{u}\cdot \vec{u}, so now you have an idea how to begin here.

    Tonio
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  3. #3
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by elitethut View Post
    Hi everyone !

    I want to solve the following:

    1/4||\vec{u}+\vec{v}||^2-1/4||\vec{u}-\vec{v}||^2=\vec{u} \cdot \vec{v}

    I have no idea how to start this proof...anyone can help ??


    Thanks !

    Nevermind. I think I goofed.
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