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

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

A vector is a unit vector if its norm is 1.

Mathematicians and scientists call a quantity which depends on direction a vector quantity. A quantity which does not depend on direction is called a scalar quantity.

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).

In mathematics, an algebra over a field is a vector space equipped with a bilinear product.

What is the difference between raster and vector graphics?

Most people are introduced to vectors in high school or college.

Vectors need not correspond to a physical quantity; anything can be a vector space as long as vector addition and scalar multiplication is defined.

These matrices form a vector space.