Points A,B,C A, B, C\,A,B,C and D D\,D have position vectors a=(14)\mathbf{a} = \begin{pmatrix} 1 \\ 4 \end{pmatrix}a=(14), b=(48)\mathbf{b} = \begin{pmatrix} 4 \\ 8 \end{pmatrix}b=(48), c=(109)\mathbf{c} = \begin{pmatrix} 10 \\ 9 \end{pmatrix}c=(109), d=(7k)\mathbf{d} = \begin{pmatrix} 7 \\ k \end{pmatrix}d=(7k)
Find the value of k k\,k for which ABCD ABCD\,ABCD is a parallelogram.
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.