In mathematics and physics, a vector is a term that refers colloquially to some quantities that cannot be expressed by a single number. It is also a row or column of a matrix.
In computer science, it is an array data structure consisting of collection of elements identified by at least on array index or key.
In Mathics3 vectors as are Lists. One never needs to distinguish between row and column vectors. As with other objects vectors can mix number and symbolic elements.
Vectors can be long, dense, or sparse.
Here are the grouping we have for Vector Operations: