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Question: Trying to do the inner product of two complex vectors using bra and ket notation

Question:Trying to do the inner product of two complex vectors using bra and ket notation

dimbles 15 Maple
physics inner-product
October 24 2020
3

Hi, 

I'm trying to calculate the inner product of these two vectors. 

|a> = (1 + i) i, (1) j, (i) k

|b> = (4 - 1) i, (0) j, (2 -2i)k

where bold i, j, k, are the orthonormal bases. 

I can calculate it on paper, the problem I'm having is figuring out how to calculate it using maple. I want to be able to use dirac notation. I've tried using the physics library but none of the example use actual vectors but instead use quantum numbers. 

Thanks, 
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