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A-LevelFurther MathematicsVectors9231/12 · Oct/Nov 2017 · Q69 Marks

The points A, B and C have position vectors 2i – j + k, 3i + 4j – k and –i + 2j + 4k respectively.

  1. (i)Find the area of the triangle ABC.[4]
  2. (ii)Find the perpendicular distance of the point A from the line BC.[3]
  3. (iii)Find the cartesian equation of the plane through A, B and C.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [1] B1 2 correct required
  2. [2] M1A1 OE
  3. [1] A1
  4. [2] M1A1 Alt method: Find angle at C
  5. [1] A1 Area triangle = sin C × |AC|
  6. [1] M1
  7. [1] A1

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About this question

Topic
Vectors, A-Level Further Mathematics (syllabus 9231). Structured question, 9 marks.
Source
A-Level Further Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 6.

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