Linear Dependence of Vectors

This lecture covers the concept of linear dependence of vectors, where vectors are considered collinear if they are linear combinations of each other. The lecture demonstrates examples of vectors forming a parallelogram and explores the conditions for vectors to be linearly dependent. Through various applications and exercises, the instructor illustrates how to express vectors as linear combinations and determine their linear dependence. The lecture also delves into the properties of midpoints in quadrilaterals and their relation to vector operations.