A-LevelFurther MathematicsVectors and 3D GeometryMay/June 2021Paper 1 Q612 Marks
Let t be a positive constant. The line l₁ passes through the point with position vector ti+j and is parallel to the vector -2i-j. The line l₂ passes through the point with position vector j+tk and is parallel to the vector -2j+k. It is given that the shortest distance between the lines l₁ and l₂ is √21.
📋 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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