Vectors are points in some finite-dimensional space. For example, a set of geographical coordinates (latitude, longitude) is a two-dimensional vector. A list of 7 timestamps retrieved daily during a week corresponds to a seven-dimensional vector.

In linear algebra, vectors are objects that can be added together and that can also multiplied by numbers (*scalars*, in linear algebra language) to compose new vectors.

Here is a graphical example: adding the vectors [1, 2] and [2, 1] results in vector [1 + 2, 2 + 1] (or [3, 3]), as shown below.

Reference: Grus, Joel. “Data Science from Scratch”. O’Reilly. 2015