CAIE IGCSE Mathematics Extended E7.3.1 Calculate the magnitude of a vector x y J L KK N P OO as xy22+

Practise calculating vector magnitudes with modulus notation, using components, coordinate differences and scaled vectors.

Syllabus
2028–2030
Objective
E7.3.1
Level
Extended

Exam points

  • calculate |a| or |AB| from a column vector using x^2 + y^2 under a square root
  • find the magnitude after forming p - q, BA or a scalar multiple
  • use a given length to solve for an unknown component or justify a rounded magnitude

E7.3.1 Calculate the magnitude of a vector x y J L KK N P OO as xy22+ question 1

[Maximum number: 2]

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

the magnitude of vector GH→\overrightarrow{G H}.

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