Vectors: Definitions and Operations

This lecture covers the definitions and operations related to vectors, starting with the definition of a vector as an arrow in space. It explains vector detachment from position, displacement between two points, and vector properties like norm and zero vector. The lecture also delves into vector addition, scalar multiplication, and the concept of collinearity. It concludes with an application example involving quadrilaterals and midpoints, showcasing the practical use of vector operations in geometry.