I would like to know how the angle between two n-vectors is defined. I mean whether it is unique and how we may compute it (is the inner product a valid method in the n-dimensional space?). I have found very little information on this issue on the internet. Thanks
How is the angle between 2 vectors in more than 3 dimensions defined?
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trigonometry
analytic-geometry
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0Did you want the acute angle or the obtuse angle (that is, if your vectors weren't perpendicular)? – 2011-07-23
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0@J.M.: Did you mean the non-reflex ($0\le\theta\le\pi$) angle or the reflex ($\pi\lt\theta\lt2\pi$) angle? – 2011-07-23
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0@Isaac: Tsk, I was thinking of "vertical angles" at the time I wrote the comment... so the first one, yes. – 2011-07-23