2015 MJC P2 Q4
2015 MJC P2 Q4
4 marks
The planes \(p\) and \(q\) have equations \(\mathbf{r}\cdot \left( \begin{matrix}
1 \\
1 \\
1 \\
\end{matrix} \right)=1\) and \(\mathbf{r}\cdot \left( \begin{matrix}
1 \\
0 \\
1 \\
\end{matrix} \right)=2\)respectively, and meet in the line \(l\).
- Find the acute angle between \(p\) and \(q\). [2]
- Find a vector equation for \(l\).[2]
Video Solution:
Video solution locked
A free account saves your progress; this video needs a course plan.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(i) \(35.3^\circ\) (ii) \(\mathbf r=\begin{pmatrix}0\\-1\\2\end{pmatrix}+\lambda\begin{pmatrix}1\\0\\-1\end{pmatrix},\ \lambda\in\mathbb R\)
Need help? Join our JC Math tuition classes.
Learn more