3D Coordinates and Vectors | Multivariable Calculus Theory Part 1

Locate points in three-dimensional space and build vectors from their components. We explain right-handed coordinates, coordinate planes, octants, distance, spheres, vector operations, magnitude, unit vectors, the standard basis, and forces through spatial examples. Connect each formula to the geometry it describes, including the difference between a point and a displacement and the meaning of adding forces. Part 1 of the Multivariable and Vector Calculus course. For additional learning materials and interactive tools, visit: https://getinfinityinsights.com/ Chapters 00:00 Locating a point in a right-handed coordinate system 01:46 Coordinate planes and octants 03:27 Distance and spheres 05:10 Vectors, components, and magnitude 06:54 Addition and scalar multiplication 08:34 Unit vectors and a basis 10:29 Forces and a physical meaning for the sum