(a(i))[2]
Find the coordinates of point $M$.
(a(ii))[4]
Find the equation of the line perpendicular to $AB$ that goes through $M$. Give your answer in the form $y = mx + c$.
(b(i))[2]
Find the vector from $P$ to $Q$.
(b(ii))[2]
Find the position vector of $R$.
(c(i))[2]
Find $\overrightarrow{OY}$ expressed using $t$ and $u$. Give the simplest form of your answer.
(c(ii))[1]
Find $\overrightarrow{OZ}$ expressed using $t$ and/or $u$. Give the simplest form of your answer.