| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Vectors 3D & Lines |
| Type | Perpendicularity conditions |
| Difficulty | Easy -1.2 This is a straightforward question requiring recall of the fact that coefficients give the normal vector, then checking perpendicularity via dot product equals zero. It's below average difficulty as it's a direct application of standard results with no problem-solving or insight required, though the 'hence' adds minimal structure. |
| Spec | 4.04b Plane equations: cartesian and vector forms4.04c Scalar product: calculate and use for angles |
Write down normal vectors to the planes $2x + 3y + 4z = 10$ and $x - 2y + z = 5$.
Hence show that these planes are perpendicular to each other. [4]
\hfill \mbox{\textit{OCR MEI C4 Q2 [4]}}