Vector addition and parallel vectors problem

AI Thread Summary
The discussion centers around a challenging vector addition problem that requires understanding the relationship between parallel vectors, specifically OB and AC. Users express difficulty in solving the problem using geometry and seek alternative methods. A hint suggests identifying similar triangles to utilize proportionality for a simpler solution. The forum emphasizes that sharing direct solutions to homework questions is not allowed, but hints and guidance are encouraged. Overall, the conversation highlights the importance of geometric principles in solving vector-related problems.
jeff einstein
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source of question: https://www.tes.com/teaching-resour...-questions-for-edexcel-1ma1-syllabus-12621082

Found this vector question by a google search, apparently a person has made this question and it seems almost impossible to solve it without using geometry. Even after using geometry the working out becomes really dirty. The main idea with this question is that ob is parralel to ac which is what defines the line MNC if ac and ob were not parallel then the question would truly be impossible.

Please help as soon as possible
 
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Thank you so much for replying, here is the detailed solution to the problem
1742142381012.png
 
Do you really need a vector-based solution? The problem can be solved in a few lines of very simple (non-vector) working.
 
i would be happy to know the other method please share it with us
 
jeff einstein said:
i would be happy to know the other method please share it with us
The forum rules prevent me (quite rightly) from posting a solution to what is classified as a homework question.

But I guess a hint is ok: if you can identity two similar triangles, you can use simple proportionality.

Have a go and post your answer here.
 
got it! thx for the help
 

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