Points A,B,C A, B, C\,A,B,C and D D\,D have position vectors a=(15)\mathbf{a} = \begin{pmatrix} 1 \\ 5 \end{pmatrix}a=(15), b=(37)\mathbf{b} = \begin{pmatrix} 3 \\ 7 \end{pmatrix}b=(37), c=(710)\mathbf{c} = \begin{pmatrix} 7 \\ 10 \end{pmatrix}c=(710), 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∣=213|\vec{AD}| = 2\sqrt{13}∣AD∣=213
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.