Visualizing Change Of Basis Dynamically

How can we visualize a B-coordinate system not from the "standard" way, but from the perspective of the B-basis, itself? Further, if we apply the Change-Of-Basis transformations that we've computed previously, what does that "look" like? Answering these two questions simultaneously gives us a nice, dynamic, visual way of understanding what is going on with the Change of Basis Formula

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This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

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