How do I calculate vector magnitude with given coordinates?

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SUMMARY

The discussion focuses on calculating the magnitude of a vector given its coordinates. The formula for the magnitude of vector u is defined as sqrt(u1^2 + u2^2 + u3^2). Participants emphasize the importance of visualizing the vector in a coordinate system to enhance understanding. Clear steps and examples are encouraged to aid those struggling with the concept.

PREREQUISITES
  • Understanding of basic vector mathematics
  • Familiarity with the Pythagorean theorem
  • Knowledge of coordinate systems
  • Ability to perform square root calculations
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  • Study vector operations in 3D space
  • Learn about the geometric interpretation of vectors
  • Explore applications of vector magnitude in physics
  • Practice problems involving vector calculations
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Students in mathematics or physics courses, educators teaching vector concepts, and anyone seeking to improve their understanding of vector magnitude calculations.

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Homework Statement


unnamed.jpg


Homework Equations


magnitude of vector u = sqrt(u1^2 + u2^2 + u3^3)

The Attempt at a Solution


I'm not sure how to do this or draw a picture. Could someone show me how to do this? Thanks!
 
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You can begin with a coordinate system. (PF rules require something of an effort is made by the requester...)
 

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