A diagram shows a triangle OABOABOAB.
OA⃗=4a \vec{OA} = 4\mathbf{a} OA=4a OB⃗=5b \vec{OB} = 5\mathbf{b} OB=5bP P\,P is the point on AB AB\,AB such that AP:PB=1:3AP:PB = 1:3AP:PB=1:3
OP⃗=k(12a+5b) \vec{OP} = k(12\mathbf{a} + 5\mathbf{b}) OP=k(12a+5b)Find the value of kkk.
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.