CAIE IGCSE Mathematics Extended E7.3 Magnitude of a vector Question Bank

Practise finding vector lengths from components, including after vector operations, scalar multiples and coordinate-based routes.

Syllabus
2028–2030
Topic
E7.3
Level
Extended

Exam points

  • calculate |v| or |AB| from components using the square root of summed squares

Covered syllabus points

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

E7.3 Magnitude of a vector 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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