I read somewhere that normal transformations (hermitian, unitary, orthogonal, etc...) preserves the angles between vectors.

but transformation is a function that operates ononevector, not two ( ), so what angle exactly are we talking about here?

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- July 5th 2013, 01:25 AMStormeyTransformations 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 ( ), so what angle exactly are we talking about here? - July 5th 2013, 01:48 AMchiroRe: 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(<.,.>) - July 5th 2013, 12:17 PMStormeyRe: Transformations that preserves the vector angles?
Hi chiro.

thanks for the help. - July 5th 2013, 04:14 PMHallsofIvyRe: 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.