2022 HCI J2 BT Q2

Timothy Gan

2022 HCI J2 BT Q2

Relative to the origin $O$, two points $A$ and $B$ have position vectors $\mathbf{a}$ and $\mathbf{b}$ respectively.
It is given that $\mathbf{c}$ and $\mathbf{d}$ are vectors such that $\mathbf{c}\cdot \mathbf{d}\ne 0$.

(i)

Write down a vector equation, in scalar product form, of the plane $p$ passing through $B$ and perpendicular to $\mathbf{d}$.

[1]

(ii)

The line $l$ passes through $A$ and is parallel to $\mathbf{c}$. Let $M$ be the point of intersection of $l$ and $p$. Express $\overrightarrow{OM}$ in terms of $\mathbf{a}$, $\mathbf{b}$, $\mathbf{c}$ and $\mathbf{d}$.

[3]

Suggested Video 

Students Only

Login here to view
Join Us

Our H2 Math Tuition includes

  • Question Bank with Video solutions to 1400+ questions
  • Online Portal
  • H2 Math Summary Notes
  • Structured Curriculum and Notes
Free Stuff

Share with your friends!

WhatsApp
Telegram
Facebook
Published: 22nd February 2024
2022 HCI J2 BT Q2
Written by
Timothy Gan
This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
Did You Enjoy This Article?
Join our community and get updated as We have a lot more just for you!

Leave a Reply

Your email address will not be published. Required fields are marked *

Continue reading

Published: 22nd February 2024

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

Leave a Reply

Your email address will not be published. Required fields are marked *