The points PPP, Q Q\,Q and R R\,R have position vectors p=2i+j\mathbf{p} = 2\mathbf{i} + \mathbf{j}p=2i+j, q=6i+9j\mathbf{q} = 6\mathbf{i} + 9\mathbf{j}q=6i+9j and r=14i+25j\mathbf{r} = 14\mathbf{i} + 25\mathbf{j}r=14i+25j
Show that PPP, Q Q\,Q and R R\,R are collinear.
Find the ratio PQ:QRPQ : QRPQ:QR.
168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.