2017 TJC MYE Q4
$ABCD$ is a piece of cardboard in the shape of a trapezium with $\angle COA=\angle BAO={{90}^{\circ }}$, $OA=5$cm, $OC=\frac{5\sqrt{2}}{3}$cm and $AB=5\sqrt{2}$ cm.
As part of a model for a structure, this cardboard is placed on a flat floor with $OA$ touching the floor and $B$ being at a height of $5$cm vertically above the floor.
The flat floor is assumed to be the $x-y$ plane and the positive $z$-axis in the vertically upwards direction.
The position of $O$ on the ground is taken to be the origin and $A$ has coordinates $\left( 3,4,0 \right)$.
(i)
Show that a possible coordinates of $B$ is $\left( 7,1,5 \right)$.
[5]
Use $\left( 7,1,5 \right)$ as the coordinates of $B$ for the rest of the question.
(ii)
Find the position vector of $C$.
[2]
(iii)
Find a vector equation of line $BC$.
[2]
(iv)
Find the acute angle between $BC$ and the floor.
[3]
Suggested Video Solutions
Share with your friends!
- No charge
- Unsubscribe anytime
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