How to subtract vectors of different length(Euclidean distance)

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I am trying to find euclidean distance between a vector C = [11,2;13,44;5,6] for every center C= [2,4;3,7].
Here I need to compare euclidean distance of every row of A with every row of C and store the index of C. I am trying not to use for loops. I am unable to subtract vectors of different lengths. How do I go about it?
NOTE: I can not use high level functions like pdist(). I need to do it by matrix manipulation

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