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Geometria Analítica: Ângulo entre Dois Planos

(2026-11-10) Saavedra, Beto

**Video Summary — Angle Between Two Planes** The video uses a **three-dimensional perspective and geometric animations** to explain the concept of the angle between two intersecting planes. Through the rotation of the planes, it illustrates the relationship between the angle formed by the planes and the angle between their normal vectors. The video also examines the case in which the angle between the normal vectors is obtuse, showing why its supplementary angle is considered. An algebraic derivation justifies the use of the absolute value in the formula for the cosine of the angle between two planes: **cos θ = |n⃗₁ · n⃗₂| / (‖n⃗₁‖ ‖n⃗₂‖)** where θ is the angle between the normal vectors n⃗₁ and n⃗₂ of the planes. This approach combines **three-dimensional visualization, geometric interpretation, and algebraic reasoning**, facilitating a deeper understanding of the concept.

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Uni(di)versidade: Promovendo conscientizAÇÃO, Equidade e Saúde Mental

(2026-11-09) Macêdo, Shirley; Barbosa, Eduarda Freire; Santos, Isadora da Silva; Lopes, Laura Wirgynia Santos

As complex institutions, universities can become spaces where certain behaviors trigger mechanisms of exclusion and expulsion of others, ultimately undermining their very mission as institutions committed to transforming society through teaching, research, and community engagement. Inequalities in the treatment of individuals who do not conform to socially established norms affect dissident bodies and their diverse ways of existing, as everyday practices and discourses within universities restrict their possibilities for existence. In this context, this booklet aims to raise awareness among university academic communities about behaviors that perpetuate prejudice and the social exclusion of diversity within universities, contributing to the development of a more democratic and pluralistic institution, committed to social justice, the recognition of differences, and the promotion of human dignity.