How to calculate the dot product of two big vectors in polar coordinate system?

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- Mar 23rd 2011, 11:22 PMprobladyhow to calculate the dot product ...
How to calculate the dot product of two big vectors in polar coordinate system?

- Mar 24th 2011, 02:02 AMAckbeet
Note that

$\displaystyle \mathbf{a}\cdot\mathbf{b}=ab\cos(\theta),$

where

$\displaystyle a=|\mathbf{a}|,\;b=|\mathbf{b}|,\;\text{and}\;\the ta$ is the angle between the two vectors. The RHS should be fairly straight-forward in polar coordinates.