Find the components of a unit vector

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SUMMARY

The discussion focuses on determining the components of a unit vector related to a bar AB in a geometric context. Participants emphasize the importance of finding the angle that bar AB makes with the horizontal to calculate the vector components accurately. Key mathematical concepts mentioned include the Pythagorean Theorem and the Law of Cosines, which are essential for solving the problem. Visual representation through diagrams is also highlighted as a crucial step in understanding the relationships between the components.

PREREQUISITES
  • Basic geometry principles
  • Pythagorean Theorem
  • Law of Cosines
  • Understanding of unit vectors
NEXT STEPS
  • Study the Law of Cosines for triangle calculations
  • Learn how to derive unit vectors from vector components
  • Practice problems involving the Pythagorean Theorem in geometry
  • Explore visual representation techniques for geometric problems
USEFUL FOR

Students in physics or mathematics, particularly those studying vector analysis and geometry, will benefit from this discussion.

seanster1324
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Homework Statement



http://i.imgur.com/B1hFY6E.png

Homework Equations



-Basic geometry
-Similar triangles (?)
-Pythagorean Theorem

The Attempt at a Solution



-I need to find the angle the bar AB makes with the horizontal, correct? And with that, I will be able to figure out the components for the unit vector...
-I'm stuck at where exactly to start. I feel as though there are generalizations I am not making that are necessary to begin...
 
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Draw a picture of the curved bar and lay out the straight bar as shown on the diagram. Can you figure out the components of the vector AB? Remember the length of AB is given.
 
seanster1324 said:

Homework Statement



http://i.imgur.com/B1hFY6E.png

Homework Equations



-Basic geometry
-Similar triangles (?)
-Pythagorean Theorem

The Attempt at a Solution



-I need to find the angle the bar AB makes with the horizontal, correct? And with that, I will be able to figure out the components for the unit vector...
-I'm stuck at where exactly to start. I feel as though there are generalizations I am not making that are necessary to begin...

Draw a line from the origin to B. You know this distance, right? So you have all 3 sides of a triangle & from that you can determine your angle using law of cosines.
 

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