A geometria analítica do Ensino Médio no contexto do espaço euclidiano Rn

Abstract

In this work a wider approach of the topics studied in the Analytical Geometry of Basic Education will be presented. For teachers and high school students, aims to over- come our limited visualization of geometric shapes and geometric relationships seen in the Analytic Geometry Basic, studying the light of an n-dimensional view. Is used as the theoretical support the Vector Algebra, which will enable us to understand how it works in the Euclidean space Rn elements of analytic geometry. Initially some elements of Vec- tor Algebra that will guide the study in Euclidean space. It presents the conditions for collinearity and coplanarity of points. As well as calculating the distance between points, between point and the straight, between straights, between point and hyperplane and the relative positions between straights, between straight and hyperplane and between hyperplane and hypersphere.