A-LevelFurther MathematicsVectorsMay/June 2015Paper 1 Q1214 Marks
OR The lines l₁ and l₂ have equations r = 8i + 2j + 3k + λ(i – 2j) and r = 5i + 3j – 14k + μ(2j – 3k) respectively. The point P on l₁ and the point Q on l₂ are such that PQ is perpendicular to both l₁ and l₂. Find the position vector of the point P and the position vector of the point Q. The points with position vectors 8i + 2j + 3k and 5i + 3j – 14k are denoted by A and B respectively. Find
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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