@ACuriousMind
I am not sure...
The question was inspired from my electromagnetism lesson 1 back in my 2nd year, where the professor was revising very briefly about vector calculus.
He begins with a question by simply writing a tuple (4 6 7) and ask us whether this is a vector
He then explains that (4 6 7) is not necessary a vector, because e.g. (4 6 7) can represent 4 apples, 6 oranges and 7 bananas in a barrel, and this will obviously not change when you rotate your view. He then explains that to be a vector it has to obey a transformation rule