Abstract
In the previous chapter we have dealt with the (real and linear) affine space \(\mathbb A^n\) as modelled on the vector space \(\mathbb R^n\). In this chapter we study the additional structures on \(\mathbb A^n\) that come when passing from \(\mathbb R^n\) to the euclidean space \(E^n\) (see the Chap. 3). Taking into account the scalar product allows one to introduce metric notions (such as distances and angles) into an affine space.
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