Find the position vector of ##Q##

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Homework Help Overview

The discussion revolves around finding the position vector of point Q in a geometric context, specifically involving similar triangles. The problem is presented as an O level question, indicating a focus on foundational concepts in geometry.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to use similarity of triangles as an approach but seeks a potentially easier method. Other participants reiterate the similarity of triangles OPC and QPB, noting a specific ratio of 3, and mention another triangle, ΔQOA, being similar to the previous two.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the similarity approach and expressing a desire for clearer reasoning or alternative methods. There is no explicit consensus yet, but multiple interpretations of the problem are being explored.

Contextual Notes

Participants are working within the constraints of a 2 mark question, which may influence the complexity of the approaches discussed. The original poster expresses uncertainty about the clarity of the provided solution and hints at the possibility of reflection being relevant to the problem.

chwala
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Homework Statement
see attached (highlighted in Red)
Relevant Equations
vectors
O level question; i used similarity would appreciate an easier approach for 2 marks.

1712998784103.png


1712998811995.png



1712998859224.png


The ms solution (approach) is not clear to me. Here it is;



1712998905932.png


My approach; using similarity

1712999389794.png


Any insight welcome its a 2 mark question- cannot seem to find easier way though i suspect reflection.
 
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anuttarasammyak said:
View attachment 343313
...still not getting it. You mind giving some reason or thought. Thks.
 
Triangle OPC and QPB are similar with ratio 3.
 
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anuttarasammyak said:
Triangle OPC and QPB are similar with ratio 3.
And ΔQOA is similar to each of those two.
 
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