Points A,B,C A, B, C\,A,B,C and D D\,D have position vectors a=(13)\mathbf{a} = \begin{pmatrix} 1 \\ 3 \end{pmatrix}a=(13), b=(36)\mathbf{b} = \begin{pmatrix} 3 \\ 6 \end{pmatrix}b=(36), c=(75)\mathbf{c} = \begin{pmatrix} 7 \\ 5 \end{pmatrix}c=(75), d=(5k)\mathbf{d} = \begin{pmatrix} 5 \\ k \end{pmatrix}d=(5k)
Find the value of k k\,k for which D D\,D is the midpoint of BCBCBC
Find the two values of k k\,k for which ∣AD⃗∣=25|\vec{AD}| = 2\sqrt{5}∣AD∣=25
Find the value of k k\,k for which ABCD ABCD\,ABCD is a parallelogram.
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.