Psychology Dictionary of Arguments

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Vectors: In physics, a vector is a quantity that has both magnitude and direction, represented by an arrow. It describes various physical quantities like force, velocity, and displacement in terms of their size and the direction they act in space. Vectors follow mathematical rules of addition and subtraction to depict their combined effects.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Richard Feynman on Vectors - Dictionary of Arguments

I 165
Vector/Feynman: any physical quantity associated with three numbers that transform like the components of a step in space is a vector. (i.e. invariant under rotation or shifting of the axis system).
An equation like
F = R
would thus be correct in any coordinate system if it is correct in one.
>Symmetries
.
I 166
Vectors/Feynman: the fact that a physical relation can be expressed as a vector equation assures us that the relationship remains unchanged by a simple rotation of the coordinate system.

Vectors: e..g momentum, speed, force, acceleration.
We can represent force by arrows, because it has the same mathematical transformation properties as a "step in space". The step is then a selected unit of force.
>Forces/Bigelow, >Forces/Cartwright, >Forces/Leibniz, >Forces/Russell.

For example, if we represent force by a length, we still need a constant k:
F = kr.
Important Point: after drawing the lines we no longer need the axes! ((s) If there are several lines, they are related to one another, which makes the axes superfluous).

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Feynman I
Richard Feynman
The Feynman Lectures on Physics. Vol. I, Mainly Mechanics, Radiation, and Heat, California Institute of Technology 1963
German Edition:
Vorlesungen über Physik I München 2001

Feynman II
R. Feynman
The Character of Physical Law, Cambridge, MA/London 1967
German Edition:
Vom Wesen physikalischer Gesetze München 1993


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