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Analytic geometry

Lines, planes and solids in space described by vectors — and how they are positioned relative to one another.

11 topics

  • Vectors and vector arithmetic
  • Lines in space
  • PlanesParametric, normal and coordinate form, and converting between them
  • Relative positionPoint, line, plane — parallel, intersecting, skew, coincident
  • Systems of linear equations
  • Dot productOrthogonality, angles between vectors
  • Cross productPart of some syllabuses only. Each product states its curriculum reference.
  • DistancesPoint–line, point–plane, line–line, line–plane
  • Angles
  • Areas and volumes of solids
  • SpheresPart of some syllabuses only. Each product states its curriculum reference.

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