PQRSTU PQRSTU\,PQRSTU is a regular hexagon with centre OOO.
OP⃗=p \vec{OP} = \mathbf{p} OP=p OQ⃗=q \vec{OQ} = \mathbf{q} OQ=qM M\,M is a point on QR QR\,QR such that QM:MR=2:1QM:MR = 2:1QM:MR=2:1. X X\,X is the point on PQ PQ\,PQ extended, such that PQ:QX=1:1PQ:QX = 1:1PQ:QX=1:1.
Prove that TTT, M M\,M and X X\,X are on the same straight line.
Practise Eduqas GCSE Maths Vectors Proof Questions with exam-style questions for Foundation and Higher tier. 24 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
