Vector addition and parallel vectors problem

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SUMMARY

The forum discussion centers on a challenging vector addition problem related to parallel vectors, specifically referencing a question from the Edexcel GCSE syllabus. The key insight is that the line MNC is defined by the parallelism of vectors OB and AC, which simplifies the problem significantly. Users emphasize the importance of geometric understanding and suggest that identifying similar triangles can lead to a simpler, non-vector solution. The discussion highlights the necessity of geometry in solving complex vector problems.

PREREQUISITES
  • Understanding of vector addition and properties of parallel vectors
  • Basic knowledge of geometry, particularly similar triangles
  • Familiarity with Edexcel GCSE mathematics syllabus
  • Ability to apply proportionality in geometric contexts
NEXT STEPS
  • Study vector addition and its applications in geometry
  • Learn about the properties of parallel vectors and their implications
  • Explore the concept of similar triangles and their use in problem-solving
  • Review Edexcel GCSE practice questions for additional context and examples
USEFUL FOR

Students preparing for the Edexcel GCSE mathematics exam, educators teaching vector concepts, and anyone interested in enhancing their problem-solving skills in geometry and vectors.

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.
 
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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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