In

mathematics, an

affine subspace is a

subset of a

linear space with the property that any

affine combination of

vectors in the affine subspace is also in the affine subspace. An affine subspace differs from a

linear subspace in that an affine subspace does not necessarily contain the zero vector (i.e. the

origin).

For example, any arbitrary plane in 3-space is an affine subspace of 3-space.