0580 P21 - Jun 2011 - Q18 - 5 marks
16331
PQS, PMR, MXS and QXR are straight. PQ = 2QS, M is the midpoint of PR and QX:XR = 1:3. \(\overrightarrow{PQ}=\mathbf q,\ \overrightarrow{PR}=\mathbf r\).
(a)(i) Find \(\overrightarrow{RQ}\). [1]
(a)(ii) Find \(\overrightarrow{MS}\). [1]
(b) By finding \(\overrightarrow{MX}\), show that X is the midpoint of MS. [3]
