A Cringeworthily Easy Common Sense Problem
Consider the complex number a+ai and its complex conjugate c+di(yes I KNOW HOW TO EXPRESS THE CONJUGATE IN TERMS OF A BUT IF I DID THAT THIS PROBLEM WOULD BE WAY TOO EASY AND IT IS ALREADY CRINGEWORTHILY EASY).Find the dot product of the vectors
a a
and
c d
The answer is 0.
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1 solution
A=C because the magnitude of all the terms remains unchanged and d=-a so the dot product is aa-aa=0.