Foundation November 2019 Paper 2 Q30
30 \(\mathbf{a} = \begin{pmatrix} 2 \\ 7 \end{pmatrix} \qquad \mathbf{b} = \begin{pmatrix} 5 \\ -2 \end{pmatrix}\)
Work out \(\quad 3\mathbf{a} + \mathbf{b}\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\begin{pmatrix} 11 \\ 19 \end{pmatrix}\) | B2 | B1 unsimplified equivalent single vector eg \(\begin{pmatrix} 3 \times 2 + 5 \\ 3 \times 7 - 2 \end{pmatrix}\) or answer \(\begin{pmatrix} 11 \\ m \end{pmatrix}\) or answer \(\begin{pmatrix} n \\ 19 \end{pmatrix}\) or \(\begin{pmatrix} 6 \\ 21 \end{pmatrix}\) seen |
Additional guidance
| Condone fraction line for B2 or B1 eg \(\left(\dfrac{11}{19}\right)\) | B2 |
| Answer \(\begin{pmatrix} 11 \\ m \end{pmatrix}\) must have \(m\) as a numerical value | |
| Answer \(\begin{pmatrix} n \\ 19 \end{pmatrix}\) must have \(n\) as a numerical value | |
| Must see the vector brackets to award any marks in the working eg \(\begin{matrix} 11 \\ 19 \end{matrix}\) or \(\dfrac{11}{19}\) or \(\dfrac{6 + 5}{21 - 2}\) or \(\begin{matrix} 6 \\ 21 \end{matrix}\) | B0 |
| Unsimplified version may be awarded in the working but must be seen as a single vector eg \(\begin{pmatrix} 6 + 5 \\ 21 - 2 \end{pmatrix}\) | B1 |
| \(\begin{pmatrix} 6 \\ 21 \end{pmatrix}\) may be awarded in the working if seen as a vector | B1 |