Sorry if this is a stupid question but I am a little confused and would like to clear something up. It has been a while since I was formally educated.

A scalar is a tensor rank of 0.

A vector is a tensor rank 0f 1. This can be represented as a one dimensional array. That is the part I am confused about...

Why is it represented as a one dimensional array?

Lets take force for example:

Does the one dimensional array mean that for all directions there is a net force in that directions? Or why is it a one dimensional array?