How Can Cross Products Help Solve Vector Problems?

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SUMMARY

The discussion focuses on the application of cross products in solving vector problems, specifically in the context of a homework question involving forces and angles. The participant expresses confusion about how to utilize cross products effectively, indicating a lack of familiarity with the concept. A suggested approach involves drawing a triangle to visualize the relationships between the vectors and applying trigonometric functions, such as cosine, to resolve components. The conversation emphasizes the importance of understanding cross products for accurately solving vector-related problems.

PREREQUISITES
  • Understanding of vector components and their representations
  • Familiarity with trigonometric functions, particularly cosine
  • Basic knowledge of cross products in vector mathematics
  • Ability to visualize geometric relationships in vector problems
NEXT STEPS
  • Study the properties and applications of cross products in vector analysis
  • Learn how to resolve vector components using trigonometric identities
  • Practice drawing geometric representations of vector problems
  • Explore examples of vector problems that utilize cross products for solutions
USEFUL FOR

Students studying physics or mathematics, particularly those tackling vector problems in mechanics or geometry, as well as educators seeking to clarify the concept of cross products in their teaching.

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Homework Statement



[PLAIN]http://img715.imageshack.us/img715/8128/66497284.jpg

Homework Equations



The Attempt at a Solution



I'm really confused about this question and not sure what to do. I've only been able to find the angles and don't really know what to do next. I also think that it i might need to know how to do cross products to find the expression but I'm not sure, since i haven't really learned about it yet. so i would not know when and how to apply it to this problem. If anyone can give me on how i should proceed in doing the problem in a. thanks.

Edit:
So I've tried to draw a perpendicular line from end of F to AB and would get something like this
Fab = Fcos55
i've actually thought of this before but I'm not so sure if this would be allowed, like if it's breaking any rules or somthing
 
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Start by drawing a triangle in which the sides are parallel to AB, perpendicular to AB and F itself. What do the sides of the triangle represent? And what can you conclude from that?
 
Last edited:

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