| Exam Board | OCR MEI |
| Module | Further Pure Core AS (Further Pure Core AS) |
| Year | 2018 |
| Session | June |
| Topic | Vectors 3D & Lines |
3
\end{array} \right) , \quad \mathbf { B } = \left( \begin{array} { r r r }
2 & 0 & 3
1 & - 1 & 3
\end{array} \right) , \quad \mathbf { C } = \left( \begin{array} { l l }
1 & 3
\end{array} \right)$$
Calculate all possible products formed from two of these three matrices.
2 Find, to the nearest degree, the angle between the vectors \(\left( \begin{array} { r } 1
0
- 2 \end{array} \right)\) and \(\left( \begin{array} { r } - 2
3
- 3 \end{array} \right)\).
3 Find real numbers \(a\) and \(b\) such that \(( a - 3 i ) ( 5 - i ) = b - 17 i\).