3D Geometry: Lines, Planes, and Linear Programming

Applied mathematics requires a strong grasp of spatial relationships and the ability to solve resource allocation problems efficiently. This course provides the foundational knowledge necessary for both three-dimensional geometry and mathematical optimization. Upon completion, learners will be able to interpret and manipulate vectors in three dimensions, calculate distances and angles in space, and formulate and solve basic optimization problems using the graphical method and understanding the underlying principles of the simplex approach. What you'll learn: * Understand the vector and Cartesian equations of lines and planes in 3D space. * Apply dot and cross products to calculate angles, projections, and distances between points, lines, and planes. * Master the formulation of real-world constraints into linear inequalities for optimization problems. * Practice solving two-variable Linear Programming Problems (LPP) using the graphical method. * Learn the core principles behind the Simplex Method for solving higher-dimensional LPPs. * Configure basic models for resource allocation and cost minimization using optimization techniques. The course begins with essential vector algebra, progressing through the geometry of lines and planes in three dimensions. It concludes by introducing the theory and application of Linear Programming, focusing on problem formulation and solution techniques. This course is designed for absolute beginners interested in applied mathematics, engineering, or computational optimization. No prior knowledge of 3D geometry or linear programming is required. Start building your mathematical foundation in spatial analysis and optimization today.