Normalising vectors - in the complex case
Im having difficulty interpreting the norm of vectors with complex entries.( i understand in the real case that to nomalise a vector you sum up the squares of the entries, take the square root of the total and that gives the norm, and the you multiply the original vector by 1/norm to normalise it) but with in terms of dealing with complex entries i don't seem to be getting the right answers, please could you explain why....(please note the vectors are in transposed form)
1/2(1−i, 2, 1+i)
when normalised gives
(root2)/4 (1−i, 2 ,1+i) (implying the norm is root 2)
or if its easier please explain why the normalised version of this vector :
thanks so much in advance.