Solving Vector Problem: Displacement from Point A

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SUMMARY

The discussion focuses on calculating the displacement of a person walking from point A to point B using vector components. Participants emphasize the importance of breaking down vectors into their x (adjacent) and y (opposite) components using trigonometric functions. The specific values mentioned include a distance of fifty meters and an angle of sixty degrees. The Law of Sines and Cosines is referenced as a potential method for solving the problem, highlighting the relevance of these mathematical principles in vector analysis.

PREREQUISITES
  • Understanding of vector decomposition
  • Familiarity with trigonometric functions (sine, cosine)
  • Knowledge of the Law of Sines and Cosines
  • Basic geometry concepts related to right triangles
NEXT STEPS
  • Study vector decomposition techniques in physics
  • Learn how to apply the Law of Sines and Cosines in vector problems
  • Practice using trigonometric functions to resolve vectors into components
  • Explore real-world applications of vector analysis in navigation
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Students studying physics, particularly those focusing on vector analysis, as well as educators and tutors looking to enhance their understanding of displacement and trigonometry in practical scenarios.

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Homework Statement



A person walks from point A to point B as show in the picture below. What is the person's displacement relative to A?
Vector.jpg


Homework Equations



Law of Sines and Cosines?

The Attempt at a Solution



It involves vectors, and I need to divide them up into components.

How do I do that?

Thank you for your help.
 
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The two titles on the right say Fifty meters and 60 degrees.

Thank you.
 
Think of the vectors as the hypotenuses of right triangles. What trig functions would you use to find the opposite and adjacent components? (y and x, respectively)
 

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