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September 13th, 2013, 10:25 AM   #1
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Dot Product in Cylindrical Coordinates

I'm trying to find the angle between two vectors, expressed in cylindrical coordinates. I was thinking I'd use the property that
a dot b= Magnitude(a)*Magnitude(b)*Cos(theta).
But where I'm stuck is how to get a dot b and the magnitude of the the vectors. I know how to do all that in cartesian coordinates, so would the best approach be to convert my two vectors from cylindrical coordinates to cartesian coordinates, and then do the vector math? Or is there a cleaner approach that involves calculating the dot product and magnitudes in cylindrical coordinates?

PS. I'm implementing this as a matlab script so if any one knows of any built-in matlab tools to help with this, that would be appreciated too!

Thanks!
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