Anyone able to help with these vectors geometry and planes questions?

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SUMMARY

This discussion focuses on solving geometry and plane-related questions involving vectors. The user seeks assistance specifically with parts (b) and (c) of the first question and parts (iii) and (iv) of the second question. Key techniques mentioned include the cosine formula for calculating lengths and the relationship between the inner product of vectors and the cosine of the angle between them. The discussion emphasizes the importance of providing attempted solutions and relevant diagrams for effective assistance.

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  • Understanding of vector geometry concepts
  • Familiarity with the cosine formula
  • Knowledge of inner product calculations
  • Ability to interpret geometric diagrams
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  • Study the cosine formula in vector calculations
  • Explore the relationship between inner products and angles in vector spaces
  • Practice solving geometry problems involving planes and vectors
  • Review techniques for interpreting and creating geometric diagrams
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Students studying geometry, mathematics educators, and anyone seeking to enhance their understanding of vector-related problems in geometry and planes.

Carlito
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Can anyone help me with parts (b) and (c) of this question: http://203.219.144.182/carl/q1ii.gif


I've done parts (i) and (ii) but can anyone help with parts (iii) and (iv)
http://203.219.144.182/carl/q2.gif

answers for parts (i) and (ii):
http://203.219.144.182/carl/q2a.jpg


Thanks heaps, it is really important and kinda urgent.
 
Last edited by a moderator:
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b) You should use the cosine-formula to express thess these lengths.
Also, remember the relation between the inner product, vector lengths, and the cosine of the angle between the two vectors.
c) Ought to follow easily from b)
 


Sure, I'd be happy to help with your geometry and planes questions. Can you please provide more specific information about what you need help with for parts (b) and (c) of the first question and parts (iii) and (iv) of the second question? It would also be helpful if you could provide your attempted solutions or any specific areas you are struggling with so I can better assist you. Additionally, please make sure to include any relevant diagrams or equations that may be needed to solve the problems. Looking forward to helping you out!
 

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