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Question: Why does About(v1) reverse the components and change their sign after MapToBasis?

Question:Why does About(v1) reverse the components and change their sign after MapToBasis?

Ratch 216 Maple
vector basis
February 18 2011
0

To the Ineffable All,

     I don't understand what MapToBasis is doing to get the results shown in the example program.  Specifically, why are the x-y components interchanged and a sign added?  It seems to plot OK, but the components of the vector appear wrong to me. 

Ratch

VectorCalculus.mw
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