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Old 05-19-2006   #8 (permalink)
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Lightbulb Re: Tensors

Perhaps I put it dry and technically, here's an illustration of the third paragraph of my above post:

Write F = ma, where F and a are both vectors and m is a scalar, so ma is also a vector, so the equation is between two vectors. What does this mean? It means that the equation isn't valid for just one choice of coordinates, you can turn somersaults while the force F is accelerating the mass m and, at any instant, imagine you froze and consider the inertial frame according to your rotated position. The vector force is rotated and the vector acceleration is too... as you see them that is, because they are really the same two vectors and one is equal to the other times the scalar mass.


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