an array acquires meaning as a vector when assigned a coordinate basis.

If we look at the two arrays,they're clearly not the same,but an array alone doesn't completely describe a vector.Each needs a basis to give it context,and when we properly assign them,we see that they are in fact describing the same vector.You can think of elements in the array as individual letters.Just as a sequence of letters only becomes a word in the context of a particular language,an array acquires meaning as a vector when assigned a coordinate basis.