| Exam Board | SPS |
|---|
| Module | SPS FM (SPS FM) |
|---|
| Year | 2020 |
|---|
| Session | May |
|---|
| Marks | 3 |
|---|
| Topic | Vectors: Lines & Planes |
|---|
2.
A plane has equation \(\mathbf { r } \cdot \left[ \begin{array} { l } 1
1
1 \end{array} \right] = 7\)
A line has equation \(\mathbf { r } = \left[ \begin{array} { l } 2
0
1 \end{array} \right] + \mu \left[ \begin{array} { l } 1
0
1 \end{array} \right]\)
Calculate the acute angle between the line and the plane.
Give your answer to the nearest \(0.1 ^ { \circ }\)
[0pt]
[3 marks]