GHIJKL GHIJKL\,GHIJKL is a regular hexagon with centre OOO.
OG⃗=g \vec{OG} = \mathbf{g} OG=g OH⃗=h \vec{OH} = \mathbf{h} OH=hM M\,M is a point on HI HI\,HI such that HM:MI=1:3HM:MI = 1:3HM:MI=1:3. X X\,X is the point on GH GH\,GH extended, such that GH:HX=7:2GH:HX = 7:2GH:HX=7:2.
Prove that KKK, M M\,M and X X\,X are on the same straight line.
Practise AQA GCSE Maths Vectors Proof Questions with exam-style questions for Foundation and Higher tier. 24 questions, matched to the AQA GCSE Maths (8300) 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.