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CAIE IGCSE Mathematics Extended E7.3.1 Calculate the Magnitude of a Vector X Y J L Kk N P Oo As Xy22 Questions

Practise Extended CAIE IGCSE Mathematics by forming the required vector, applying the square-root magnitude formula and solving or rounding the resulting length accurately.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • Calculate |a| or |AB| from a column vector using the square root of x² + y².
  • Form a vector such as p − q, BA or a scalar multiple before calculating its magnitude.
  • Use a given length to solve for an unknown component or justify a rounded magnitude.

CAIE IGCSE Mathematics Extended E7.3.1 Calculate the Magnitude of a Vector X Y J L Kk N P Oo As Xy22 Questions question 1

[Maximum number: 2]

u=(3−2)v=(−125)\mathbf u=\begin{pmatrix}3\\-2\end{pmatrix}\qquad \mathbf v=\begin{pmatrix}-12\\5\end{pmatrix}

Find ∣v∣|\mathbf{v}|.

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