Enrich · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors

Enrich 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

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