An art installation is suspended by four anchor points PPP, QQQ, RRR and SSS. Their position vectors relative to an origin OOO are given by
OP→=[−142],OQ→=[350],OR→=[503] and OS→=[1−15] \overrightarrow{OP} = \begin{bmatrix} -1 \\ 4 \\ 2 \end{bmatrix}, \overrightarrow{OQ} = \begin{bmatrix} 3 \\ 5 \\ 0 \end{bmatrix}, \overrightarrow{OR} = \begin{bmatrix} 5 \\ 0 \\ 3 \end{bmatrix} \text{ and } \overrightarrow{OS} = \begin{bmatrix} 1 \\ -1 \\ 5 \end{bmatrix} OP=−142,OQ=350,OR=503 and OS=1−15Find the vector PQ→\overrightarrow{PQ}PQ.
Show that the quadrilateral PQRSPQRSPQRS is a parallelogram, but not a rhombus.
Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 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.
