In an affine plane of order n, prove that each line contain exactly n points
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#2
i_emanuel
14
0
Hi, I will try to help you out :)
Lets consider an n-dimensional Euclidean space [tex]E_{n}[/tex] and by means of abstraction we develop the algebra of general affine tensors.
An orthonormal system [tex] e_{j} [/tex] in [tex] E_{n}[/tex] consists of n mutually orthogonal unit vectors. Any orthonormal system [tex] {\bar{e}_{j}} [/tex] may be obtained from the first by means of the linear transformation