A quadrilateral has vertices AAA, BBB, CCC and DDD with position vectors given by
OA→=[2−14],OB→=[523],OC→=[805] and OD→=[5−36] \overrightarrow{OA} = \begin{bmatrix} 2 \\ -1 \\ 4 \end{bmatrix}, \overrightarrow{OB} = \begin{bmatrix} 5 \\ 2 \\ 3 \end{bmatrix}, \overrightarrow{OC} = \begin{bmatrix} 8 \\ 0 \\ 5 \end{bmatrix} \text{ and } \overrightarrow{OD} = \begin{bmatrix} 5 \\ -3 \\ 6 \end{bmatrix} OA=2−14,OB=523,OC=805 and OD=5−36Write down the vector AB→\overrightarrow{AB}AB.
Show that ABCDABCDABCD is a parallelogram, but not a rhombus.
168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.