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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.7
Collinear points and parallel lines with vectors Problem set A Answers
Skills
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\(\overrightarrow{AE}=\frac{5}{2}\overrightarrow{AD}\), and they share A, so A, D, E are collinear
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\(\overrightarrow{MN}=\frac{1}{2}\overrightarrow{OA}\), so they are parallel
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\(\overrightarrow{AC}=2\overrightarrow{AB}\), so the points are collinear
In context
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\(\overrightarrow{AE}=\frac{4}{3}\overrightarrow{AD}\), and they share A, so A, D, E are collinear
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\(\overrightarrow{DM}=\overrightarrow{CB}\), so DM is parallel to CB
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\(\overrightarrow{PR}=3\overrightarrow{PQ}\), so the points are collinear
Stretch
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\(k=\frac{2}{3}\)
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\(\overrightarrow{XP}=2\overrightarrow{WZ}\), so they are parallel
jmaths.xyz · AI HL · AHL 4.7 Collinear points and parallel lines with vectors