| Exam Board | SPS |
|---|---|
| Module | SPS SM Pure (SPS SM Pure) |
| Year | 2021 |
| Session | June |
| Marks | 4 |
| Topic | Vectors Introduction & 2D |
| Type | Vector between two points |
| Difficulty | Easy -1.2 This is a straightforward two-part question testing basic vector operations: finding a displacement vector by subtraction and calculating its magnitude using Pythagoras. Both are routine procedures requiring only direct application of standard formulas with no problem-solving or conceptual insight needed. |
| Spec | 1.10c Magnitude and direction: of vectors1.10d Vector operations: addition and scalar multiplication |
Given that the point $A$ has position vector $3\mathbf{i} - 7\mathbf{j}$ and the point $B$ has position vector $8\mathbf{i} + 3\mathbf{j}$,
\begin{enumerate}[label=(\alph*)]
\item find the vector $\overrightarrow{AB}$ [2]
\item Find $|\overrightarrow{AB}|$. Give your answer as a simplified surd. [2]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM Pure 2021 Q2 [4]}}