CAIE IGCSE Mathematics Extended E7.2.2 Adding & Subtracting Vectors

Practise combining column vectors and directed routes to obtain resultants, missing displacements or point coordinates.

Syllabus
2028–2030
Objective
E7.2.2
Level
Extended

Exam points

  • add or subtract corresponding vector components while preserving signs
  • combine consecutive directed segments to replace them with one start-to-end vector
  • reverse a route by negating the vector before simplifying the expression

E7.2.2 Add and subtract vectors. question 1

[Maximum number: 1]

F is the point (1,-4), FG→=(8−3)\overrightarrow{FG}=\binom{8}{-3} and GH→=(−1235)\overrightarrow{GH}=\binom{-12}{35}.
Find

FG→+GH→\overrightarrow{F G}+\overrightarrow{G H}

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