Representing Vectors in Newton's Notation: How to Use Overdot and Arrow Symbols?

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Discussion Overview

The discussion revolves around the representation of vectors using Newton's notation, specifically the use of overdot and arrow symbols. Participants explore the conventions and clarity of these notations in the context of physics and mathematics.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks whether it is correct to represent a vector with both an overdot and an arrow symbol, specifically if they can be combined.
  • Another participant suggests that the notation ##\dot{\vec{x}}## is preferred over ##\vec{\dot{x}}##, indicating that conventions may vary based on the source material.
  • A different participant asserts that using dot notation for derivatives is generally acceptable for both scalar and vector quantities.

Areas of Agreement / Disagreement

Participants express differing opinions on the correct notation, indicating that there is no consensus on the matter. The discussion includes various interpretations of the conventions used in representing vectors.

Contextual Notes

There is an acknowledgment that conventions may differ across texts, and the clarity of notation may depend on specific definitions or contexts provided in literature.

sams
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A very simple question. How do we represent a vector with Newton's notation (writing the arrow symbol with the overdot notation)? Can we write them both above each other. First, the overdot notation and then the arrow symbol?

Thank you a lot for your help...
 
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you mean which is correct ##\dot{\vec{x}}## or ##\vec{\dot{x}}##? I think the first one... But it is a matter of convention, usually in the book or the paper there will be some footnote or appendix that explains the conventions in symbols.

Anyway, I think dot notation for derivatives is used usually with scalar quantities, not with vector ones.
 
The typical notation would be ##\dot{\vec x}##. There is nothing particular with using the dot notation for vectors vs scalars.
 
Thank you sirs for your help...
 

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