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Mathematics Extension 2 11–12 – Year 12 · Further work with vectors · Vector equations of lines and curves · Topic: Problem solving & reasoning · Year 12

Identify r = p + λ(q - p) as one possible vector equation for the straight line through points P and Q, where p and q are the position vectors of P and Q respectively, noting its equivalence with the form r = λq + (1 - λ)p, and establish the correspondence between the value of λ and the position of the point specified by it along the line

Dot point ID extension-2-year-12-further-work-with-vectors/dp-9f59c723 · See it on the NSW Curriculum website ↗

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Outcomes for this focus area (ME2-12-02)

ME2-12-02 uses vectors to model lines and curves, solve problems, and prove results involving geometry and coordinate geometry

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