Vector Algebra and the Physics of Centre of Mass

Vectors are the essential mathematical tools used across physics, engineering, and data science, yet the concepts of direction and magnitude can be tricky to grasp. This course provides a clear, step-by-step written guide to mastering vector algebra and applying these skills to calculate and interpret the center of mass for various systems. You will build a solid quantitative foundation for advanced mechanics and spatial reasoning. What you'll learn: * Understand the definition and graphical representation of vectors in two and three dimensions. * Master vector operations including addition, subtraction, scalar multiplication, dot products, and cross products. * Apply vector methods to represent fundamental physical quantities like displacement, velocity, and force. * Calculate the center of mass for systems of discrete particles and understand the methodology for continuous rigid bodies. * Analyze the motion of the center of mass and apply the concept to solve basic problems involving impulse and momentum. The course begins with the mathematical foundations of vector manipulation and moves systematically into practical applications in classical mechanics, focusing heavily on equilibrium and motion analysis. This course is designed for absolute beginners interested in physics, engineering, or mathematics. No prior knowledge of vectors or advanced physics is required, only basic algebra skills. Start reading today and transform your understanding of directional quantities in science.