Equations of spheres and 3D regions

What this note covers

1. Deriving the Cartesian equation of a sphere
2. Vector form of a sphere
3. Describing regions in R3 using vector inequalities
4. Intersection of a sphere and a plane
5. Intersection of two spheres
6. Geometric interpretation and visualisation
7. Exam technique and QCAA question patterns

7 sections · 14 key terms & formulas · 6 common mistakes