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Math Help - Proof question - Orthogonal Vectors

  1. #1
    Ife
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    Proof question - Orthogonal Vectors

    I can never seem to prove these things. I have a practice question and I'm not sure how the layout should be.

    Suppose a vector y is orthogonal to vectors u and v. Show that y is orthogonal to the vector u+v.

    I know the basic rules for what makes vectors orthogonal but when I have to generalise that to show stuff like this i get totally lost. Any help please?
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    <y,u+v>=<y,u>+<y,v>=0+0=0
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  3. #3
    Ife
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    Ok, I am not sure i understand what you mean by <y,u>? is this the coordinate representation of a vector?
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Ife View Post
    Ok, I am not sure i understand what you mean by <y,u>? is this the coordinate representation of a vector?

    It is one of the notations for the inner product: <y,u>=y\cdot u=(y|u) etc.
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  5. #5
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    you may know <y,u> as the "dot product".
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  6. #6
    Ife
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    ohh. i haven't seen it like that as yet, i think.. thanks
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