9 A line has Cartesian equations \(x - p = \frac { y + 2 } { q } = 3 - z\) and a plane has
equation r. \(\left[ \begin{array} { r } 1
- 1
- 2 \end{array} \right] = - 3\)
9
- In the case where the plane fully contains the line, find the values of \(p\) and \(q\).
[0pt]
[3 marks]
9 - In the case where the line intersects the plane at a single point, find the range of values of \(p\) and \(q\).
[0pt]
[3 marks]
9 - In the case where the angle \(\theta\) between the line and the plane satisfies \(\sin \theta = \frac { 1 } { \sqrt { 6 } }\) and the line intersects the plane at \(z = 0\)
9
- Find the value of \(q\).
[0pt]
[4 marks]
9
- (ii) Find the value of \(p\).