Every vector space has a basis.

A vector quantity has two characteristics, a magnitude and a direction.

Actually, I understood everything in linear algebra until we came to vector spaces," said Tom. Mary just shook her head.

When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.

In algebra, abstract algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, and lattices.

Mosquitoes are a vector for disease.

The gradient of a scalar-valued function of several variables is the vector which contains its partial derivatives with respect to each of its variables (when these derivatives exist).

These matrices form a vector space.

The dimension of a vector space equals the largest number of its elements that can be linearly independent.

A force is a vector quantity so a force has both a magnitude and a direction.