Final answer:
A vector space consists of a set of vectors, which are entities with both magnitude and direction and can be manipulated mathematically or represented geometrically.
Step-by-step explanation:
A vector space consists of a set of vectors. In the context of vector spaces in mathematics and physics, vectors are entities that have both magnitude and direction. They can be represented geometrically as arrows and can exist in one-dimensional, two-dimensional, or three-dimensional space. Vectors can be added, subtracted, or multiplied by scalars, which are quantities with magnitude but no direction. It's important to note that while scalars are a part of vector spaces as they scale vectors, the entities that make up the set that is a vector space itself are vectors.