High Quality Content by WIKIPEDIA articles! In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector. More generally, a vector space may be defined by using any field instead of the real numbers, such as the complex numbers. Then the scalars of that vector space will be the elements of the associated field. Also, a scalar product operation may be defined on a vector space, allowing two vectors to be multiplied to produce a scalar. A vector space equipped with a scalar product is called an inner product space.

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