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Get the Dot product of two vectors with complex components?

I am trying to obtain the scalar product of two vectors whose components are complex valued. I can do the maths (as I understand it) by hand for my first simple examples but struggle with Mathematica 11. The simplest task which is to establish the Norm of these vectors works fine, but when I then try to get the Dot product, I get an error from Mathematica. I am sure that I have the syntax wrong somewhere or that I need to use the INNER function rather than Dot but I cannot get that to work either based on my reading of the Mathematica Help. I have attached a very simple Notebook to illustrate my problem.

Any help will be gratefully received.

Thanks David

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