BECE Mathematics 2025 Paper

Concept:$\overrightarrow{MN}$ = (position of $N$) $-$ (position of $M$): end point minus start point. The top number is the change in $x$, the bottom number the change in $y$.Given:Start $M(1, 3)$, end $N(4, 5)$Solution:Change in $x$: $4 - 1 = 3$Change in $y$: $5 - 3 = 2$$\overrightarrow{MN} = \dbinom{3}{2}$Key point: $M - N$ gives $\dbinom{-3}{-2}$, which is $\overrightarrow{NM}$ (the opposite direction). Adding the coordinates gives $\dbinom{5}{8}$, which is not a vector between the points.Answer:Option A ($\dbinom{3}{2}$)