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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.

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The correct answer is . This question tests the candidate's understanding of vectors and 3d geometry within the Further Mathematicssyllabus. The examiner's mark scheme requires...

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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...

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About This A-Level Further Mathematics Question

This structured question appeared in the Cambridge A-Level Further Mathematics (9231) May/June 2021 examination, Paper 1 Variant 2. It tests the topic of Vectors and 3D Geometry and is worth 12 marks.

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