Points A A\,A and B B\,B have position vectors (18)\begin{pmatrix} 1 \\ 8 \end{pmatrix}(18) and (42)\begin{pmatrix} 4 \\ 2 \end{pmatrix}(42) respectively
Point D D\,D has position vector (1q)\begin{pmatrix} 1 \\ q \end{pmatrix}(1q) and angle ABD=90∘ABD = 90^{\circ}ABD=90∘
Determine the value of qqq.
284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.