(a(i))[2]
$ABC$ forms a triangle. The five candidate coordinates for point $C$ are $(-2,4)$, $(-2,-1)$, $(-1,-2)$, $(6,1)$, $(-4,6)$. Tick the two coordinates from the list that make $ABC$ an isosceles triangle.
(a(ii))[1]
Find the column vector $\vec{AB}$.
(a(iii))[3]
$A$ lies at the midpoint of the line $DB$. Find $|\vec{DB}|$.
(b)[4]
The equation of line $P$ is $y = 4x - 3$. Line $L$ is perpendicular to line $P$. Line $L$ goes through the point $(6,4)$. Find the coordinates of the point where line $L$ meets the $x$-axis.