(a) If $x=\left(\begin{array}{c}2\\ 3\end{array}\right),y=\left(\begin{array}{c}5\\ -2\end{array}\right)$ and $z=\left(\begin{array}{c}-4\\ 13\end{array}\right)$, find the scalars p and q such that $px+qy=z$.
(b)(i) Using the scale of 2cm to 2 units on both axis, draw on a graph paper two perpendicular axis x and y for $-5\le x\le 5,-5\le y\le 5$ respectively.
(ii) Draw, on the graph paper, indicating clearly the vertices and their coordinates,
(1) the quadrilateral WXYZ with W(2, 3), X(4, -1), Y(-3, -4) and Z(-3, 2).
(2) the image $W_1{X}_1{Y}_1{Z}_1$ of the quadrilateral WXYZ under an anti-clockwise rotation of 90° about the origin where $W\to W_1,X\to X_1,Y\to Y_1$ and $Z\to Z_1$.


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