WordReference Random House Unabridged Dictionary of American English © 2026
vec′tor space′, [Math.]
- Mathematicsan 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. Also called linear space.
- 1940–45
'vector space' also found in these entries (note: many are not synonyms or translations):
Banach space
- Euclidean space
- Hilbert space
- affine group
- annihilator
- basis
- characteristic root
- complex
- dimension
- division algebra
- dual space
- eigenfunction
- finite-dimensional
- full linear group
- hyperplane
- inner product
- linear space
- linear transformation
- norm
- normed space
- null-space
- real
- reflexive
- scalar
- singular
- span
- subspace
- vector