The angle between two ℝ(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}or ℝ^{3}vectors makes sense.

I have a vector like [0 0.707 1 0.707 0 -.707 -1 -.707]^{T}

(Actually my vector is A/D conversions of a sine wave from the wall power outlet. The sample rate is 4800 so there are 80 samples, separated by 1/Fs for a 60Hz sine wave.

If I have two of these vectors each with 80 rows,does the angle between these vectors have any physical significance?

Should I think of the vector to mean there are 80 dimensions, one dimension for each of the 80 A/D conversions?

(My application is trying to estimate the phase/frequency of the sine wave.)

Thanks!

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# I Angle between two vectors with many dimensions

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