2025 IGCSE 0580 May/June P21 Q8

2025 IGCSE 0580 May/June P21 Q8

4 marks

\(\mathbf{m}=\begin{pmatrix}11\\5\end{pmatrix}\qquad\mathbf{n}=\begin{pmatrix}8\\-3\end{pmatrix}\)

  1. Find \(2\mathbf{m}-\mathbf{n}\).[2]
  2. The vector \(\begin{pmatrix}5\\\sqrt{y}\end{pmatrix}\) has a magnitude of \(7\).
    Find the value of \(y\).[2]

Solution:

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Answer:(a) \(\begin{pmatrix}14\\13\end{pmatrix}\). (b) \(y=24\).

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