Published onJuly 4, 2026Vectors and Coordinate Geometry: Circles and Sphereshsc-mathsextension-2vectorsgeometryExplore how classical coordinate geometry formulas like midpoint and distance naturally extend to define circles and spheres in vector notation.
Published onJuly 4, 2026Vectors in Geometrical Proofshsc-mathsextension-2vectorsgeometryproofsLearn how to prove complex geometrical theorems about triangles, quadrilaterals, and circles using the elegant simplicity of vector algebra.
Published onJuly 4, 2026Vectors in Linear Algebra and the Cauchy-Schwarz Inequalityhsc-mathsextension-2vectorsalgebrainequalitiesDiscover how vectors form the basis of linear algebra and how the dot product yields one of the most powerful inequalities in mathematics.
Published onJuly 4, 2026Vector Equations of Lines and Intersectionshsc-mathsextension-2vectorsgeometryalgebraMove beyond y = mx + c and learn how to define and intersect lines in three-dimensional space using vector parameters.
Published onJuly 4, 2026Parametric and Bézier Curves using Vectorshsc-mathsextension-2vectorsparametric-equationsDiscover how vectors are used to define parametric curves, eliminate parameters, and create the Bézier curves essential in computer graphics.