CAIE IGCSE Mathematics Extended E7.4.2 Position Vectors

Practise using vectors from the origin to find coordinates and express midpoints or divided points in terms of given vectors.

Syllabus
2028–2030
Objective
E7.4.2
Level
Extended

Exam points

  • read point coordinates directly from its position vector relative to the origin
  • build a position vector by adding directed segments along a valid route
  • express a midpoint or ratio point as a simplified combination of base vectors

E7.4.2 Use position 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

the coordinates of the point G

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