The points R R\,R and S S\,S have position vectors i−2j+4k\mathbf{i} - 2\mathbf{j} + 4\mathbf{k}i−2j+4k and 5i+2j+2k5\mathbf{i} + 2\mathbf{j} + 2\mathbf{k}5i+2j+2k respectively.
Find the vector RS→\overrightarrow{RS}RS
Find ∣RS→∣|\overrightarrow{RS}|∣RS∣
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.