(a) Vectors \(\mathbf{a}\) and \(\mathbf{b}\) are drawn on a grid.
Write \(\mathbf{b}\) in terms of \(\mathbf{a}\). [1 mark]
(b) Vectors \(\mathbf{c}\) and \(\mathbf{d}\) are drawn on a grid.
On the grid above, draw a vector representing \(\quad \mathbf{c} - \mathbf{d}\) [2 marks]
Mark scheme (a)
Answer
Mark
Comments
\(-2\mathbf{a}\)
B1
oe eg \(-\mathbf{a} - \mathbf{a}\) or \(2(-\mathbf{a})\)
Additional guidance
Do not accept in column vector form unless correct answer is also seen
Do not accept \(-\mathbf{a}2\) for \(-2\mathbf{a}\)
Mark scheme (b)
Answer
Mark
Comments
\(\begin{pmatrix} -8 \\ 2 \end{pmatrix}\) drawn on the grid with direction shown
B2
\(\pm\) ¼ centimetre square B1 \(\begin{pmatrix} -8 \\ 2 \end{pmatrix}\) seen in working or correct line drawn with incorrect direction or no direction shown or correctly joined vectors for \(\mathbf{c}\) and \(-\mathbf{d}\) with correct directions shown
Additional guidance
Mark intention, line does not need to be ruled and ignore all labelling for \(\mathbf{c}\), \(\mathbf{d}\) and \(\mathbf{c} - \mathbf{d}\)
