Question

How are elements inside a vector space related to each other?

Answer 1

These two cases are the ones used most often in engineering. The general definition of a vector space allows scalars to be elements of ...

Answer 2

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars. Scalars are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called axioms,