Abstract
This chapter is devoted to a systematic study of vectors in the plane, as well as to the presentation of some applications of them to Euclidean Geometry. In this sense, we shall try to emphasize the use of vectors as being, at the same time, alternative and complementary to the synthetic and cartesian methods. It is within this spirit that we shall use vectors to revisit several previously obtained results; in particular, we call the reader’s attention to the variety of uses of the concept of scalar product of two vectors, in Sect. 8.3.
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Notes
- 1.
Augustin Louis Cauchy , French mathematician of the XIX century.
- 2.
Hermann Mikowski , German mathematician of the XIX and XX centuries.
References
A. Caminha, An Excursion Through Elementary Mathematics I - Real Numbers and Functions (Springer, New York, 2017)
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Caminha Muniz Neto, A. (2018). Vectors in the Plane. In: An Excursion through Elementary Mathematics, Volume II. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-77974-4_8
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DOI: https://doi.org/10.1007/978-3-319-77974-4_8
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