Higher June 2018 Paper 2 Q10
10 The vector a and the vector b are shown on the grid.
(a) On the grid, draw and label vector \(-2\mathbf{a}\) (1)
(b) Work out \(\mathbf{a} + 2\mathbf{b}\) as a column vector. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Diagram | B1 | for correct vector drawn including arrow |
Additional guidance
May be drawn anywhere on the grid.
Condone missing label
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\begin{pmatrix} 3 \\ -4 \end{pmatrix}\) | M1 | for \(\mathbf{a} + 2\mathbf{b}\) drawn with resultant vector or for writing a and b as column vectors and attempt to add \(\mathbf{a} + 2\mathbf{b}\), eg \(\begin{pmatrix} 1 \\ 2 \end{pmatrix} + 2 \times \begin{pmatrix} 1 \\ -3 \end{pmatrix}\) or \(\begin{pmatrix} 1 + 2 \\ c \end{pmatrix}\) or \(\begin{pmatrix} d \\ 2 + -6 \end{pmatrix}\) or \(\begin{pmatrix} -4 \\ 3 \end{pmatrix}\) |
| A1 | cao |
Additional guidance
Accept consistent incorrect notation for M1