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Dick said:Your second thumbnail in the first post explains it. Mixed partial derivatives are equal. See for example http://en.wikipedia.org/wiki/Symmetry_of_second_derivatives
cupid.callin said:if i am getting your question right ... you are asking why A X (AT) = (A X A)T = 0
is that right?
BruceW said:These kinds of relations are easy when you use the levi-civita tensor instead of vector form.
Unfortunately, I guess tensors shouldn't be included in introductory physics?
Instead, you could write out all the components explicitly, and see that the equality holds.
A vector field is a mathematical concept used to describe the behavior of vector quantities, such as force or velocity, in a given space. It is represented by a set of vectors, each associated with a specific point in the space, indicating the direction and magnitude of the vector quantity at that point.
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