Is every vector subspace also affine?

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I have a slight doubt because of some stuff I read.

Is every vector subspace also an affine subspace?

If not, can you state a counter-example?

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Yes, you can consider a vector space to be an affine space whose underlying translation space is itself.

A casual way of describing affine spaces is as "vector spaces where you forget where the origin is".

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Yes of course any subspace may be considered as an affine space over itself.

Refer also to Vector spaces as affine spaces.