The points C C\,C and D D\,D have position vectors (4−12)\begin{pmatrix} 4 \\ -1 \\ 2 \end{pmatrix}4−12 and (035)\begin{pmatrix} 0 \\ \mathrm{3} \\ 5 \end{pmatrix}035 respectively.
Find the exact length of CDCDCD.
168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, 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. Each one has a worked solution and a mark scheme showing where the marks go.