The points A A\,A and B B\,B have position vectors a=3i−4j\mathbf{a} = 3\mathbf{i} - 4\mathbf{j}a=3i−4j and b=−2i−7j\mathbf{b} = -2\mathbf{i} - 7\mathbf{j}b=−2i−7j.
The point P P\,P divides AB AB\,AB internally in the ratio AP:PB=2:5AP : PB = 2 : 5AP:PB=2:5.
Find AB⃗\vec{AB}AB.
Find the position vector of PPP.
37 exam-style questions on WJEC A Level Maths 1.9 Vectors, covering 1.9.1 Vectors, 1.9.2 Vectors, 1.9.3 Vectors, 1.9.4 Vectors, and 1.9 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.