ABCDEF ABCDEF\,ABCDEF is a regular hexagon with centre OOO.

M M\,M is the midpoint of BCBCBC. X X\,X is the point on AB AB\,AB extended, such that AB:BX=3:2AB:BX = 3:2AB:BX=3:2
Prove that EEE, M M\,M and X X\,X are on the same straight line.
Practise Edexcel GCSE Maths Vectors Proof Questions with exam-style questions for Foundation and Higher tier. 24 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 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.