| Exam Board | OCR |
|---|---|
| Module | AS Pure (AS Pure Mathematics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 4 |
| Topic | Vectors Introduction & 2D |
| Type | Angle between two vectors |
| Difficulty | Moderate -0.3 This is a straightforward application of the vector angle formula using the dot product. Students need to form two vectors (RP and RQ), calculate their magnitudes and dot product, then use arccos. While it involves multiple steps, each is routine and the method is standard for AS-level, making it slightly easier than average. |
| Spec | 1.10c Magnitude and direction: of vectors |
3 The points $P , Q$ and $R$ have coordinates $( - 1,6 ) , ( 2,10 )$ and $( 11,1 )$ respectively.
Find the angle $P R Q$.
\hfill \mbox{\textit{OCR AS Pure 2017 Q3 [4]}}