ATARMAxxing · HSC Mathematics Extension 2 revision notes
Vectors and geometry: dot-product properties, Cauchy–Schwarz, circles, spheres and triangle centres
Year 12 — Vectors: Further work with vectors (ME2-12-02)
What this note covers
- Recap: 3D notation, operations and magnitude (assumed from Extension 1)
- The scalar (dot) product and its properties
- The Cauchy–Schwarz inequality
- Circles and spheres in vector form
- Triangle centres in vector form
5 sections · 8 key terms & formulas · 6 common mistakes
Common questions
What does the HSC Mathematics Extension 2 note "Vectors and geometry: dot-product properties, Cauchy–Schwarz, circles, spheres and triangle centres" cover?
This note has 5 sections on Vectors and geometry: dot-product properties, Cauchy–Schwarz, circles, spheres and triangle centres. It includes 8 key terms and formulas, plus 6 common mistakes. It covers 3, ME2-12-02. The full section list is shown under “What this note covers”.
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