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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)


    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.

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    Solution Summary

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