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

Force and Opposing Force : Find maximum speed attained and distance travelled.

A particle of mass 10kg, moving in a straight line, starts at rest from a point A under the action of a force that decreases uniformly from 20N to zero in 20 secs. It then travels with a constant speed for a further 20s, and finally moves under the action of an opposing force of 40N until it comes to rest at B. Find the maximum speed attained and the distance travelled.

Vector Spaces : Simplifying Expressions and Index Notation

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Vector Spaces : Direct Tensor Notation

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Dyads and Tensor Vector Transformations

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