How Can I Improve My Grades in Geometry and Discrete Mathematics?

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SUMMARY

The discussion focuses on improving grades in Geometry and Discrete Mathematics, specifically addressing two homework problems involving vector analysis. The first problem requires demonstrating that the vectors u=(1,3,2), v=(1,-1,1), and w=(5,-1,4) are mutually perpendicular, which can be verified using the dot product method. The second problem involves expressing the vector x=(-3,6,8) in terms of the vectors u, v, and w, prompting a discussion on relevant equations and problem-solving strategies. Participants emphasize the importance of understanding the underlying concepts rather than simply obtaining answers.

PREREQUISITES
  • Understanding of vector operations, including dot products
  • Familiarity with linear algebra concepts
  • Basic knowledge of vector representation in three-dimensional space
  • Ability to manipulate and express vectors in terms of other vectors
NEXT STEPS
  • Study the properties of dot products and their application in determining vector perpendicularity
  • Learn how to express vectors as linear combinations of other vectors
  • Explore additional vector operations such as cross products and their geometric interpretations
  • Review fundamental concepts in linear algebra, particularly related to vector spaces
USEFUL FOR

Students enrolled in Geometry and Discrete Mathematics courses, particularly those seeking to enhance their understanding of vector analysis and improve their academic performance.

ehjay01
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Hey all,
im taking geometry and discrete mathematics at my school. Its a 12 U course. And I am not doing as well as i would like in it. I am at about a 75, annd i want that to be around 85. So I am looking to you guys for some help. If you guys wouldn't mind awnsering a few questions i have from my homework each night it would be greatly appreciated. The homework doesn't have to be handed in or anything just to improve my knowledge. Thanks.

Homework Statement



11) demonstrate that the three vectors u=(1,3,2) v=(1,-1,1) and w=(5,-1,4) are mutally perpindicular.

12) if vector u=(5,-5,2) vector v=(1,8,-4) and vector w=(-2,-1,2) express vector x=(-3,6,8) in terms of vectors u v and w.

Homework Equations

 
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11) How do you know whether two vectors are perpendicular to one another?

12) How would you attack a problem like this in general? In other words, what are the relevant equations?

I am not being mean here. You would not learn much if I simply told you the answers. Show us some work and we will help you get past trouble spots.
 
11) dot product=0, can i take the first two vectors and use the dot product to see if they are perpindicular, then the second two?
12)my book is at my friends ill edit this when i get it.
 
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