Foundation June 2025 Paper 1 Q17
17
(a) Vector a is drawn on this grid.
Write vector a as a column vector. [2]
(b) Work out.
\(\begin{pmatrix} 2 \\ 4 \end{pmatrix} + \begin{pmatrix} 3 \\ -1 \end{pmatrix}\) [1]
(c) \(\overrightarrow{\text{PQ}} = \begin{pmatrix} 2 \\ 4 \end{pmatrix}\)
Work out \(3\overrightarrow{\text{PQ}}\). [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\begin{pmatrix} -3 \\ -4 \end{pmatrix}\) | 2 | B1 for \(\begin{pmatrix} -3 \\ j \end{pmatrix}\) or \(\begin{pmatrix} k \\ -4 \end{pmatrix}\) | Penalise one mark for use of vinculum on first occurrence of a mark being awarded. |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\begin{pmatrix} 5 \\ 3 \end{pmatrix}\) | 1 | Penalise one mark for use of vinculum on first occurrence of a mark being awarded. | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\begin{pmatrix} 6 \\ 12 \end{pmatrix}\) | 1 | Penalise one mark for use of vinculum on first occurrence of a mark being awarded. | |