Well, I guess 'Linear Alebra I' has to suffice then ;) thanks again for the insight!

Thank you, do you happen to have a citable source for this connection?

iirc, since squaring is a monotic transformation (for positive numbers), it cannot change the order of a sequence sorted by length.

Would this have an influence on ranking? Meaning, if I sort a number of vectors 'v_i in V' by their cosine distance to a vector 'u', I get a specific order for them. Would ranking those same vectors with l_2 normalized euclidean distance produce the same order?