| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2008 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Vectors Introduction & 2D |
| Type | Position vector from magnitude and bearing |
| Difficulty | Easy -1.2 This is a straightforward mechanics question testing basic vector concepts: sketching a 2D vector, calculating magnitude using Pythagoras, finding bearing from components using trigonometry, and scalar multiplication. All steps are routine applications of standard formulas with no problem-solving or insight required, making it easier than average. |
| Spec | 1.10a Vectors in 2D: i,j notation and column vectors1.10c Magnitude and direction: of vectors |
2 A particle has a position vector $\mathbf { r }$, where $\mathbf { r } = 4 \mathbf { i } - 5 \mathbf { j }$ and $\mathbf { i }$ and $\mathbf { j }$ are unit vectors in the directions east and north respectively.\\
(i) Sketch $\mathbf { r }$ on a diagram showing $\mathbf { i }$ and $\mathbf { j }$ and the origin O .\\
(ii) Calculate the magnitude of $\mathbf { r }$ and its direction as a bearing.\\
(iii) Write down the vector that has the same direction as $\mathbf { r }$ and three times its magnitude.
\hfill \mbox{\textit{OCR MEI M1 2008 Q2 [6]}}