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Math Help - Orthonormal basis of inner product

  1. #1
    jax
    jax is offline
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    Orthonormal basis of inner product

    Assume e1,e2 is an orthonormal basis of an inner product vector space V and let v=5e1-e2
    Find a) ||v+3e2||
    and
    B) 7<v,e1>-10<v,e2>

    This is what o have for a) ||5e1+2e2||=||(5,2)||=sq.root of 29. I'm not sure if I computed this right any help??

    And for b) I replaced v the same way but undone know the formula I should be using because my textbook sucks.
    Thank u!!!!
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  2. #2
    MHF Contributor
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    Part (a) is correct.

    v=\begin{bmatrix}<br />
5\\ <br />
-1<br />
\end{bmatrix}

    <x,y>=x^Ty
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