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Math Help - Transformations that preserves the vector angles?

  1. #1
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    Transformations that preserves the vector angles?

    I read somewhere that normal transformations (hermitian, unitary, orthogonal, etc...) preserves the angles between vectors.
    but transformation is a function that operates on one vector, not two ( T(v)=w), so what angle exactly are we talking about here?
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  2. #2
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    Re: Transformations that preserves the vector angles?

    Hey Stormey.

    I'm not certain but I'm thinking that it means that <Tu,Tv>/|Tu|*|Tv| = <u,v>/|u||v| where <.,.> is an inner product and |.| is a norm = SQRT(<.,.>)
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    Re: Transformations that preserves the vector angles?

    Hi chiro.
    thanks for the help.
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    Re: Transformations that preserves the vector angles?

    Yes. Saying that "T preserves angles" means that the angle between Tu and Tv is the same as the angle between u and v.
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