Question
Point A has coordinates (6, 4) and point B has coordinates (2, 7).
Write \(\vec{AB}\) as a column vector.
\(\vec{AB}=\left ( \right )\).
Answer/Explanation
\(\begin{pmatrix}-4\\ 3\end{pmatrix}\)
Question
In the diagram, PQS, PMR, MXS and QXR are straight lines.
PQ = 2 QS.
M is the midpoint of P
QX : XR = 1 : 3.
\(\underset{PQ}{\rightarrow})\)=q and \(\underset{PR}{\rightarrow})\)=r.
(a) Find, in terms of q and r,
(i) \(\underset{RQ}{\rightarrow})\),
(ii) \(\underset{MS}{\rightarrow})\)
(b) By finding , show that \(\underset{MX}{\rightarrow})\) is the midpoint of MS.
Answer/Explanation
(a) (i) -r + q or q – r (ii) \(\frac{1}{2}\)(3q – r)
Question
Write $\vec{AB}$ as a column vector.
▶️Answer/Explanation
$\binom{-10}{3}$