When reading about vector dimensionality, usually I find two different uses for the term.
It may refer to the number of data points inside a vector. Example: $v = (4, 3, -1)$ has dimensionality 3.
It may appear in tensor context, where vectors are unidimensional, matrices ares two-dimensional and so on.
Most of the time, the use of the term dimensionality its clear given the context. But I was just wondering if there is a less ambiguous manner to refer to this 2 cases.