(a(i))[2]
Enlarge triangle $T$ with scale factor 3 about centre $(0,2)$.
(a(ii)(a))[2]
Rotate triangle $T$ about $(4,2)$ by $90^\circ$ clockwise. Call the image $P$.
(a(ii)(b))[3]
Reflect triangle $T$ in the line $x + y = 6$. Name the image $Q$.
(a(ii)(c))[2]
Describe fully the single transformation that maps triangle $P$ onto triangle $Q$.
(b)[3]
Find the position vector of $Z$, in terms of $a$ and $b$. Write your answer in its simplest form.