Vectors

Sample questions

Original practice questions written in the style of the exam.

1. Question 14 marks

   The points $A$ and $B$ have coordinates $(1, 0, 3)$ and $(4, -2, 9)$ respectively.

   (a) Find $|\overrightarrow{AB}|$.

   (b) Find the coordinates of the point $C$ such that $B$ is the midpoint of $AC$.

   Mark scheme

   • M1 $\overrightarrow{AB} = 3\mathbf{i} - 2\mathbf{j} + 6\mathbf{k}$ (1)
2. Question 27 marks

   The lines $l_1$ and $l_2$ have vector equations

   $l_1:\mathbf{r}=(\begin{array}{}\end{array}$