Vectors in the Plane

  • Antonio Caminha Muniz Neto
Part of the Problem Books in Mathematics book series (PBM)


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.


  1. 5.
    A. Caminha, An Excursion Through Elementary Mathematics I - Real Numbers and Functions (Springer, New York, 2017)Google Scholar

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Antonio Caminha Muniz Neto
    • 1
  1. 1.Universidade Federal do CearáFortalezaBrazil

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