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SACE Specialist Mathematics exam: Tue 10 Nov, 9:00am — 31 days away

ATARMAxxing · SACE Specialist Mathematics revision notes

Lines in three dimensions and closest-point problems

Lines in three dimensions and closest-point problems
Topic 4: Vectors in three dimensions · Subtopic 4.2: Vector and Cartesian equations

What this note covers

  1. Vector and parametric forms
  2. Testing intersection
  3. Parallel, intersecting or skew
  4. Closest point on a line
  5. Distance from point to line
  6. Paths crossing versus collision
  7. Three-dimensional lines: independent parameters, intersections and skew distance
  8. Projection to a line and constrained closest-point problems

8 sections · 10 key terms & formulas · 6 common mistakes

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SACE Specialist Mathematics · revision note 10 of 20

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