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# Show equivalence of two versions of angular momentum equations by vector math.

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I need to show that the following two terms are equivalent:

l = m(r2I - rr)xΩ

l = r x mv = r x m(Ωx r)

where

r is the position vector from the origin to the particle
l is the angular momentum
I is the identity tensor
Ω is the vector angular velocity
x indicates a cross product

##### Solution Summary

Equivalence of two versions of angular momentum equations is shown by vector math. The solution is detailed and well presented.

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