2013 CJC P2 Q2
The line $l$ passes through the point $A$, whose position vector is $-\mathbf{i}+\mathbf{j}$, and is parallel to the vector $4\mathbf{i}-3\mathbf{j}+\mathbf{k}$ and the plane $p$ has equation $3x+\alpha y=26$.
The plane $p$ is parallel to the line $l$.
(i)
Show that $\alpha =4$.
[2]
(ii)
Find the position vector of the foot of the perpendicular, $N$, from $A$ to the plane $p$.
[4]
(iii)
Hence, find the coordinates of the point $B$ which is the mirror image of $A$ in $p$.
[2]
(iv)
Find the area of triangle $OAB$, where $O$ is the origin.
[2]
Suggested Video Solutions
Share with your friends!
Continue reading
Maximizing June Holidays: Is Joining a Crash Course Necessary?
As June holidays approach, students find themselves at a crucial juncture in their academic journey. With the semester winding down and exams looming on the horizon, the pressure to excel
5 Exam Preparation Tips: How We Help Students Excel in Exams
In the ever-evolving landscape of education, where academic success is often measured by performance in exams, the need for effective test preparation has never been more critical. Students face a
List MF 27
What is the MF 27? The MF 27, set to replace the MF 26 from 2025, is a comprehensive formula sheet developed by the Ministry of Education Singapore in collaboration