Points A A\,A and B B\,B have position vectors (23)\begin{pmatrix} 2 \\ 3 \end{pmatrix}(23) and (4−1)\begin{pmatrix} 4 \\ -1 \end{pmatrix}(4−1) respectively
Point C C\,C has position vector (1p)\begin{pmatrix} 1 \\ p \end{pmatrix}(1p) and ABC ABC\,ABC is a straight line.
Find ppp
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.
Practise Edexcel AS Level Maths Vectors with exam-style questions for AS Level Maths. 15 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.