Vector space
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A vector space is a subject in advanced calculus that deals with dimensions beyond the simple x-y axis. Vector spaces typically focus on the relationship of direction rather than distance.
The formal definition of a vector space is an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real numbers, such that the product of a scalar and an element of the group or a vector is defined, the product of two scalars times a vector is associative, one times a vector is the vector, and two distributive laws hold.
