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A-LevelFurther MathematicsVectorsMay/June 2016Paper 1 Q811 Marks

Find a cartesian equation of the plane Π₁ passing through the points with coordinates (2, −1, 3), (4, 2, -5) and (−1, 3, −2). The plane Π₂ has cartesian equation 3x – y + 2z = 5. Find the acute angle between Π₁ and Π₂. Find a vector equation of the line of intersection of the planes Π₁ and Π₂.

Q: What topic does this question test?

This question tests Vectors in A-Level Further Mathematics (syllabus code 9231). It is worth 11 marks.

📋 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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About This A-Level Further Mathematics Question

Topic

This structured question tests Vectors in A-Level Further Mathematics (syllabus code 9231). It is worth 11 marks.

Source

This question appeared in the Cambridge A-Level Further Mathematics May/June 2016 examination, Paper 1 Variant 2.

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