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

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

l = m(r2I - rr)∙ω

l = r x mv = r x m(ω x 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
rr is a dyadic product

Solution Summary

Equivalence of two versions of angular momentum equations is shown by vector math. The solution is detailed and well presented. The solution received a rating of "5" from the student who posted the question.

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