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O-LevelAdditional MathematicsVectors in two dimensions4037/12 · May/June 2022 · Q45 Marks

Find the unit vector in the same direction as (-15, 8).

  1. (a)Find the unit vector in the same direction as (-15, 8).[2]
  2. (b)Given that (2a, -5) + (4b-12, 3) = 4(b-a, a+2b), find the values of a and b.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [1] B1 for 17 seen
  2. [1] A1 for (1/17) (-15, 8) oe
  3. [M1] For equating like vectors to obtain at least one equation
  4. [M1 Dep] for solving their 2 equations to obtain both a and b
  5. [A1] a = 2, b = -5/4 oe

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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, May/June 2022 Paper 1 Variant 2, question 4.

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