Geodesic
Vektorové důkazy geometrických nerovností
Rozhledy matematicko-fyzikální, Tome 86 (2011) no. 4, pp. 3-12 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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First, the article mentions basic characteristics of the dot product of two vectors in a plane or in a space, and the implementation of the dot product in a contemporary grammar school textbook. Then, the work focuses on the solution of more demanding problems where the dot product of vectors is effectively applicable, although the operation is not mentioned in the problem statement.
First, the article mentions basic characteristics of the dot product of two vectors in a plane or in a space, and the implementation of the dot product in a contemporary grammar school textbook. Then, the work focuses on the solution of more demanding problems where the dot product of vectors is effectively applicable, although the operation is not mentioned in the problem statement. 
@article{RMF_2011_86_4_a1,
     author = {Elbelov\'a, Jarmila},
     title = {Vektorov\'e d\r{u}kazy geometrick\'ych nerovnost{\'\i}},
     journal = {Rozhledy matematicko-fyzik\'aln{\'\i}},
     pages = {3--12},
     year = {2011},
     volume = {86},
     number = {4},
     language = {cs},
     url = {http://geodesic.mathdoc.fr/item/RMF_2011_86_4_a1/}
}
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%J Rozhledy matematicko-fyzikální
%D 2011
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%V 86
%N 4
%U http://geodesic.mathdoc.fr/item/RMF_2011_86_4_a1/
%G cs
%F RMF_2011_86_4_a1
Elbelová, Jarmila. Vektorové důkazy geometrických nerovností. Rozhledy matematicko-fyzikální, Tome 86 (2011) no. 4, pp. 3-12. http://geodesic.mathdoc.fr/item/RMF_2011_86_4_a1/