Multivariable Calculus (Calc III) - Complete Semester Course - Vector Projection, Multivariable Calculus

Vector projection, orthogonal decomposition of a with respect to b (parallel and perpendicular components). In this lecture, we learn the basic concept of projecting a point onto a line in R^2 and extended this to projecting points onto planes in R^3. The main focus is on projecting one vector onto another, from both geometric and algebraic perspectives. We derive the formula for vector projection, and discuss its significance in understanding the component of one vector in the direction of another. We also cover the concept of scalar projection and orthogonal decomposition of vectors. #VectorCalculus #VectorProjections #Mathematics #OrthogonalDecomposition #ScalarProjection #Mathematics #math #multivariable calculus #iitjammathematics #calculus3