Analytical Geometry: Vectors

This lecture covers the fundamentals of analytical geometry, focusing on vectors. It starts by explaining how vectors are represented and defined, emphasizing the importance of specifying two points. The lecture then delves into vector operations, such as addition and multiplication, and their properties. It also explores applications of vectors in geometry, including the Varignon theorem and alignment problems. The instructor demonstrates how to determine midpoints and solve alignment problems in triangles using vectors.