◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsVectors in two dimensions4037/11 · May/June 2014 · Q25 Marks

Vectors a, b and c are such that a = (4, 3), b = (2, 2) and c = (-5, 2)

  1. (i)Show that |a|= |b + c|.[2]
  2. (ii)Given that λa + μb = 7c, find the value of λ and of μ.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [M1] M1 for finding the modulus of either a or b + c
  2. [A1] A1 for completion
  3. [M1] M1 for equating like vectors and obtaining 2 linear equations
  4. [DM1] DM1 for solution of simultaneous equations
  5. [A1] A1 for both

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

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 2014 Paper 1 Variant 1, question 2.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Vectors in two dimensionsMay/June 20105m

Given that OA = ( -17 / 25 ) and OB = ( 4 / 5 ) find

Vectors in two dimensionsMay/June 20108m

In this question, (1 / 0) is a unit vector due east and (0 / 1) is a unit vector due north. A lighthouse has position…

Vectors in two dimensionsMay/June 20117m

Relative to an origin O, points A and B have position vectors (5 -6) and (29 -13) respectively.

Differentiation and integrationMay/June 20159m

(i) Find ∫(10e²ˣ + e⁻²ˣ)dx.

Differentiation and integrationMay/June 20158m

A curve has equation y = 4x + 3 cos 2x. The normal to the curve at the point where x = π/4 meets the x- and y-axes at…

TrigonometryMay/June 201512m

Solve 2cos3x = sec 3x for 0° ≤ x ≤ 120°.

← Browse all past-paper questions

© 2026 Oracle Prep