In a structural design, a frame is represented by points O,X O, X\,O,X and YYY.
OX⃗=10p \vec{OX} = 10\mathbf{p} OX=10p OY⃗=4q \vec{OY} = 4\mathbf{q} OY=4qA A\,A is the point on OX OX\,OX such that OA:AX=3:2OA:AX = 3:2OA:AX=3:2 M M\,M is the midpoint of XYXYXY B B\,B is the point such that OY:OB=1:3OY:OB = 1:3OY:OB=1:3
Show that A,M A, M\,A,M and B B\,B are collinear.
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.