Relativistic Vectors: Find Transformation Between A & B

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SUMMARY

The discussion focuses on finding the transformation between two 4-vectors, A = (5,4,3,0) and B = (5,5,0,0). It is established that the time coordinates of both vectors are identical, and the lengths of their spatial 3-vectors are equal. Consequently, the transformation sought is a spatial transformation that preserves spatial length, indicating a potential Lorentz transformation or rotation in the spatial dimensions.

PREREQUISITES
  • Understanding of 4-vectors in the context of special relativity
  • Knowledge of Lorentz transformations
  • Familiarity with spatial vector length preservation
  • Basic concepts of vector algebra
NEXT STEPS
  • Study Lorentz transformations in detail
  • Explore the properties of 4-vectors in special relativity
  • Learn about spatial transformations that preserve vector lengths
  • Investigate examples of transformations between different 4-vectors
USEFUL FOR

Students and educators in physics, particularly those studying special relativity and vector transformations, will benefit from this discussion.

Niles
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Homework Statement



Two 4-vectors are given by A = (5,4,3,0) and B = (5,5,0,0). I have to find out, which type of transformation comes out when transforming A over in B.

The Attempt at a Solution



I don't even think I understand the question. Can you give me a hint?
 
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Niles said:

Homework Statement



Two 4-vectors are given by A = (5,4,3,0) and B = (5,5,0,0). I have to find out, which type of transformation comes out when transforming A over in B.

The Attempt at a Solution



I don't even think I understand the question. Can you give me a hint?

1) The time coordinates of the two 4-vectors are the same.

2) The lengths of the spatial 3-vectors are the same.

This means that you're looking for a spatial transformation that preserves spatial length.
 

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