| Exam Board | OCR |
|---|---|
| Module | Further Additional Pure (Further Additional Pure) |
| Year | 2017 |
| Session | Specimen |
| Marks | 3 |
| Topic | Vectors: Cross Product & Distances |
| Type | Volume of tetrahedron using scalar triple product |
| Difficulty | Moderate -0.5 This is a straightforward application of the scalar triple product formula V = (1/6)|a·(b×c)| for tetrahedron volume. While it requires knowledge of vectors and the cross product (Further Maths content), the calculation is mechanical with no problem-solving insight needed, making it easier than average despite being from a Further Maths paper. |
| Spec | 4.04g Vector product: a x b perpendicular vector |
Find the volume of tetrahedron OABC, where O is the origin, A = (2, 3, 1), B = (-4, 2, 5) and C = (1, 4, 4). [3]
\hfill \mbox{\textit{OCR Further Additional Pure 2017 Q2 [3]}}