2026 NORTHBROOKS P1 Q13

2026 NORTHBROOKS P1 Q13

Secondary 4
3 marks

\(P\) is the point \((-1,5)\) and \(Q\) is the point \((3,-4)\).

  1. Write down the column vector \(\overrightarrow{PQ}\).[1]
  2. \(R\) has coordinates \((3,h)\) and \(\overrightarrow{PR}=k\overrightarrow{PQ}\). Find the value of \(h\) and the value of \(k\).[2]

Solution:

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Answer:(a) \(\begin{pmatrix}4\\-9\end{pmatrix}\) (b) \(h=-4,\ k=1\).

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