Higher June 2019 Paper 2 Q14
14 Here are two vectors.
\[\overrightarrow{AB} = \begin{pmatrix}6\\-9\end{pmatrix} \qquad \overrightarrow{CB} = \begin{pmatrix}1\\3\end{pmatrix}\]Find the magnitude of \(\overrightarrow{AC}\).
(3)
| Scheme | Marks |
|---|---|
| M2 | |
| 13 | A1 |
| (3) | |
| (3 marks) |
Notes
M2: for \(\sqrt{5^2 + (-12)^2}\) or \(\sqrt{(-5)^2 + 12^2}\) or \(\sqrt{5^2 + 12^2}\)
If not M2 then M1 for
\(\begin{pmatrix}6\\-9\end{pmatrix} - \begin{pmatrix}1\\3\end{pmatrix}\) or \(\begin{pmatrix}6\\-9\end{pmatrix} + \begin{pmatrix}-1\\-3\end{pmatrix}\) \(\left(= \begin{pmatrix}5\\-12\end{pmatrix}\right)\) or
or
\(\begin{pmatrix}1\\3\end{pmatrix} - \begin{pmatrix}6\\-9\end{pmatrix}\) or \(\begin{pmatrix}1\\3\end{pmatrix} + \begin{pmatrix}-6\\9\end{pmatrix}\) \(\left(= \begin{pmatrix}-5\\12\end{pmatrix}\right)\)