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

In summary, The accepted notation for representing a vector with Newton's notation is ##\dot{\vec{x}}##, where the dot is placed above the vector symbol. However, it is a matter of convention and some sources may use ##\vec{\dot{x}}## instead. The dot notation is typically used for derivatives, but it can be applied to both scalar and vector quantities.
  • #1
sams
Gold Member
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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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  • #2
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.
 
  • #3
The typical notation would be ##\dot{\vec x}##. There is nothing particular with using the dot notation for vectors vs scalars.
 
  • #4
Thank you sirs for your help...
 

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

1. What is Newton's notation for vectors?

Newton's notation for vectors is to represent a vector quantity using a bold letter, such as F for force, and an arrow above it, F. This notation is used in physics to differentiate between scalar and vector quantities.

2. How are vectors represented in Newton's notation?

Vectors in Newton's notation are represented by using the magnitude and direction of the vector. The magnitude is represented by the bold letter, while the direction is indicated by the arrow above it. For example, v represents the velocity vector with a magnitude of v and a direction indicated by the arrow.

3. Can multiple vectors be added or subtracted using Newton's notation?

Yes, multiple vectors can be added or subtracted using Newton's notation. In this notation, vectors are treated as algebraic quantities, and the operations of addition and subtraction follow the same rules as with scalars. For example, F + G represents the resultant of two forces F and G.

4. How are vector components represented in Newton's notation?

Vector components in Newton's notation are represented by using subscripts. For example, the x-component of a vector v would be represented as vx, and the y-component as vy. This notation is used to break down a vector into its horizontal and vertical components.

5. Is Newton's notation used in all branches of science?

No, Newton's notation is primarily used in physics and engineering, where vectors are commonly used to represent physical quantities such as force, velocity, and acceleration. Other branches of science, such as biology and chemistry, may use different notations for vectors depending on their specific needs.

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