2025 IGCSE 0580 February/March P22 Q15

2025 IGCSE 0580 February/March P22 Q15

7 marks

Point \(A\) has coordinates \((-4,1)\) and \(\overrightarrow{BA}=\begin{pmatrix}-5\\-12\end{pmatrix}\).

  1. Find the coordinates of point \(B\).[2]
  2. Point \(C\) has coordinates \((5,-2)\).
    Find the vector \(\overrightarrow{CA}\).[2]
  3. \(\overrightarrow{EF}=3\overrightarrow{BA}\)
    Find \(\left|\overrightarrow{EF}\right|\).[3]

Solution:

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Answer:(a) \((1,13)\). (b) \(\begin{pmatrix}-9\\3\end{pmatrix}\). (c) \(39\).

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