Easy -1.8 This is a straightforward 1-mark question testing basic recall of the vector cross product formula. Students simply need to compute the cross product, set it equal to the zero vector, and solve for λ from any component equation. It's a routine calculation with no problem-solving required, and the multiple-choice format makes it even more accessible. Despite being from Further Maths, this is significantly easier than average A-level questions.
It is given that
$$\begin{bmatrix} 2 \\ 1 \\ 9 \end{bmatrix} \times \begin{bmatrix} 5 \\ \lambda \\ -6 \end{bmatrix} = 0$$
where \(\lambda\) is a constant.
Find the value of \(\lambda\)
Circle your answer.
[1 mark]
\(-28\) \quad\quad \(-8\) \quad\quad \(8\) \quad\quad \(28\)
It is given that
$$\begin{bmatrix} 2 \\ 1 \\ 9 \end{bmatrix} \times \begin{bmatrix} 5 \\ \lambda \\ -6 \end{bmatrix} = 0$$
where $\lambda$ is a constant.
Find the value of $\lambda$
Circle your answer.
[1 mark]
$-28$ \quad\quad $-8$ \quad\quad $8$ \quad\quad $28$
\hfill \mbox{\textit{AQA Further Paper 2 2024 Q1 [1]}}