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O-LevelAdditional MathematicsVectors in two dimensions4037/12 · May/June 2016 · Q36 Marks

Vectors a, b and c are such that a = [[2],[y]], b = [[1],[3]] and c = [[-5],[5]]

  1. (i)Given that |a|=|b - c|, find the possible values of y.[3]
  2. (ii)Given that μ(b + c) + 4(b - c) = λ(2b - c), find the value of μ and of λ.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [1] B1 may be implied by further correct working
  2. [1] M1 for one correct attempt at using the modulus
  3. [1] A1
  4. [1] B1 for one correct equation in u and λ
  5. [1] B1 for a second correct equation in u and λ
  6. [1] DB1 for both, must have both previous B marks

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About this question

Topic
Vectors in two dimensions, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2016 Paper 1 Variant 2, question 3.

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