2026 NCHS P1 Q13

2026 NCHS P1 Q13

Secondary 4
3 marks

The points \(A\) and \(B\) have coordinates \((-3,2)\) and \((9,-6)\) respectively.

  1. Find \(\overrightarrow{AB}\) as a column vector.[1]
  2. By vector method, determine whether the point \(C(3,-2)\) lies on the straight line segment \(AB\).[2]

Solution:

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Answer:(a) \(\begin{pmatrix}12\\-8\end{pmatrix}\) (b) Yes: \(\overrightarrow{AC}=\frac12\overrightarrow{AB}\).

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