OCR MEI Further Pure Core AS 2018 June — Question 3

Exam BoardOCR MEI
ModuleFurther Pure Core AS (Further Pure Core AS)
Year2018
SessionJune
TopicVectors 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 \(( a - 3 i ) ( 5 - i ) = b - 17 i\).