# 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)xÎ©

l = r x mv = r x m(Î©x r)

where

r is the position vector from the origin to the particle

l is the angular momentum

I is the identity tensor

Î© is the vector angular velocity

x indicates a cross product

rr is a dyadic product.

https://brainmass.com/math/vector-calculus/equivalence-versions-angular-momentum-equations-30238

#### 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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