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AHL 3.11 (HL)—Vector equations of lines Topic Practice

AHL 3.11 (HL)—Vector equations of lines Topic Practice
IB Maths AI syllabusMaths AI SL/HLFirst assessment 2025

Students practise writing vector equations r = a + tb for motion paths, interpreting components as direction and speed, and adjusting for time offsets.

How this is tested

  • write a vector equation of motion from an initial position and velocity
  • adjust timing in vector equations when t₂ starts 20 minutes after t₁ by substituting t₁ = t₂ + 20
  • describe flight path direction and speed from coefficients in r = a + tb, e.g., west at 1.4 km min⁻¹
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