8 The plane $\Pi _ { 1 }$ has equation

$$\mathbf { r } = \left( \begin{array} { l } 
5 \\
1 \\
0
\end{array} \right) + s \left( \begin{array} { r } 
- 4 \\
1 \\
3
\end{array} \right) + t \left( \begin{array} { l } 
0 \\
1 \\
2
\end{array} \right)$$

(i) Find a cartesian equation of $\Pi _ { 1 }$.\\

The plane $\Pi _ { 2 }$ has equation $3 x + y - z = 3$.\\
(ii) Find the acute angle between $\Pi _ { 1 }$ and $\Pi _ { 2 }$, giving your answer in degrees.\\

(iii) Find an equation of the line of intersection of $\Pi _ { 1 }$ and $\Pi _ { 2 }$, giving your answer in the form $\mathbf { r } = \mathbf { a } + \lambda \mathbf { b }$. [5]\\

\hfill \mbox{\textit{CAIE FP1 2018 Q8 [5]}}