ABCDEF ABCDEF\,ABCDEF is a regular hexagon with centre OOO.
OA⃗=a \vec{OA} = \mathbf{a} OA=a OB⃗=b \vec{OB} = \mathbf{b} OB=bM M\,M is a point on BC BC\,BC such that BM:MC=1:2BM:MC = 1:2BM:MC=1:2. X X\,X is the point on AB AB\,AB extended, such that AB:BX=5:2AB:BX = 5:2AB:BX=5:2.
Prove that EEE, 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.