Covariant & Contravariant Components

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Homework Help Overview

The discussion revolves around transforming a vector given in rectangular coordinates into spherical coordinates, specifically focusing on covariant and contravariant components. The vector in question is expressed in terms of unit vectors and involves multiple transformations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the transformation of the vector into spherical coordinates and question the meaning of the unit vector basis in this context. There is uncertainty regarding the definitions and relationships between covariant and contravariant components, with some participants expressing difficulty in understanding these concepts.

Discussion Status

Some participants have attempted to clarify the definitions of coordinate basis vectors and their relation to unit vectors in spherical coordinates. There is ongoing exploration of the necessary transformations and algebraic manipulations required to derive the covariant and contravariant components. Multiple interpretations of the problem are being examined, and guidance has been offered regarding the grouping of terms in the transformations.

Contextual Notes

Participants note challenges related to the clarity of examples provided by their professor and the complexity of the material. There is an acknowledgment of previous attempts to seek help and the need for further clarification on specific mathematical relationships.

  • #31
Ok do you mind if I try and solve those and then show them too you to see if I completely understand now?
 
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  • #32
Biffinator87 said:
Ok do you mind if I try and solve those and then show them too you to see if I completely understand now?
No problem. But the hard part was over once you found the components in terms of the unit vectors. That was before we even started talking about covariant and contravariant.

Chet
 

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