Relative to a fixed origin OOO, a drone P P\,P has position vector (3i+2j−k)(3\mathbf{i} + 2\mathbf{j} - \mathbf{k})(3i+2j−k), a drone Q Q\,Q has position vector (7i+5j+3k)(7\mathbf{i} + 5\mathbf{j} + 3\mathbf{k})(7i+5j+3k), and a drone R R\,R has position vector (4i+3j+4k)(4\mathbf{i} + 3\mathbf{j} + 4\mathbf{k})(4i+3j+4k).
Find the vector QR⃗\vec{QR}QR.
Show that the quadrilateral OPQR OPQR\,OPQR is a parallelogram, giving reasons for your answer.
67 exam-style questions on OCR (MEI) A Level Maths 1.11.6 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.