In a structural design, a frame is represented by points O,X O, X\,O,X and YYY.
OX→=10p \overrightarrow{OX} = 10\mathbf{p} OX=10p OY→=4q \overrightarrow{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 on the ray OY OY\,OY 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.
22 exam-style questions on AQA GCSE Maths Vectors Proof Questions. Each one has a worked solution and a mark scheme showing where the marks go.