| Exam Board | SPS |
|---|---|
| Module | SPS FM Pure (SPS FM Pure) |
| Year | 2024 |
| Session | February |
| Marks | 3 |
| Topic | Vectors 3D & Lines |
| Type | Perpendicularity conditions |
| Difficulty | Moderate -0.5 This is a straightforward application of the perpendicularity condition for planes using normal vectors. Students need to recall that perpendicular planes have normal vectors with dot product zero, then solve a simple linear equation. It's slightly easier than average as it's a direct single-concept question with minimal algebraic manipulation. |
| Spec | 4.04b Plane equations: cartesian and vector forms |
The plane $x + 2y + cz = 4$ is perpendicular to the plane $2x - cy + 6z = 9$, where $c$ is a constant. Find the value of $c$. [3]
\hfill \mbox{\textit{SPS SPS FM Pure 2024 Q1 [3]}}