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O-LevelAdditional MathematicsVectors in two dimensions4037/12 · Oct/Nov 2012 · Q15 Marks

It is given that a = (4 3), b = (-1 2) and c = (21 2).

  1. (i)Find |a + b + c|.[2]
  2. (ii)Find λ and μ such that λ a + μ b = c.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [M1] for a complete method to find the sum and the modulus
  2. [A1]
  3. [M1] for equating like vectors once
  4. [DM1] for solving simultaneous equations
  5. [A1]

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About this question

Topic
Vectors in two dimensions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2012 Paper 1 Variant 2, question 1.

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