According to Wikipedia, the general formula for the angular velocity of a particle in three dimensions is ω=r×v|r|2.
But if this were true in general, wouldn't it follow that the angular momentum, L=r×(mv),
is always parallel to ω?
Or is it simply that we can use different reference points to measure r in each formula (as appropriate), and thus we end up obliged to have tensors in our equations?
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