Physics - Inertia

Here:
https://www.euclideanspace.com/physics/dynamics/inertia/index.htm

You are discussing the inertia tensor. You have these lines about halfway down
the page:

T = F x s (force times distance, x is the cross product)

substuting F=m a gives,

T = m * s x a

therefore defining h = m * s gives

T = h x a


Here:

T = F x s

is incorrect. The correct equation is T = R X F where R is the distance vector.
This would make the rest of your derivation correct. Starting with T = F X
s and then ending with T = m*s X a would imply that the cross product is communitive,
which it is not.

I have enjoyed the site so far, Thanks

Israel


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