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- (algebra, geometry, mathematics, topology) A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints.
- A vector space is a set of vectors which can be linearly combined.
- Each vector space has a basis and dimension.
- algebra over a field
- Banach space
- Euclidean space
- inner product space
- normed vector space
- quadratic space
- real vector space