2026 TKGS WA2 Q3

2026 TKGS WA2 Q3

Secondary 4
3 marks

The diagram shows the positions of the points X, P and Q where \(\overrightarrow{PQ}=\begin{pmatrix}4\\ 2\end{pmatrix}\) is represented in the grid below.

  1. Y is the point such that PQXY is a parallelogram.
    1. Mark and label the point Y on the grid above.[1]
    2. Express \(\overrightarrow{PY}\) as a column vector.[1]
  2. Find \(\left|\overrightarrow{QX}\right|\). Leave your answer in 2 significant figures.[1]

Solution:

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Answer:Y is two squares left and three squares above P; PY=(−2,3)ᵀ; |QX|=3.6 units.

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