What's the difference between magnitude and pythagorean's theorem

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Discussion Overview

The discussion centers on the concepts of magnitude and the Pythagorean theorem, exploring their definitions, applications, and relationships, particularly in real-life situations and vector contexts.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants propose that magnitude refers to "size" or "bigness" and can be applied in various real-life situations.
  • One participant explains that the Pythagorean theorem can be used to calculate magnitude in specific scenarios, such as determining the length of a line on a graph.
  • Another participant suggests that magnitude, in the context of vectors, is an application of the Pythagorean theorem, indicating a hierarchical relationship.
  • A participant expresses confusion regarding the concept of resultant magnitude and its differences from magnitude itself, seeking further clarification.

Areas of Agreement / Disagreement

Participants show some agreement on the relationship between magnitude and the Pythagorean theorem, but there remains confusion and uncertainty regarding the concept of resultant magnitude and its distinctions.

Contextual Notes

There are unresolved questions about the definitions and applications of magnitude and resultant magnitude, as well as the assumptions underlying their relationships.

bogoa
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and what are the concepts of magnitudes..and how do we apply that in real life situations.
 
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bogoa said:
and what are the concepts of magnitudes..and how do we apply that in real life situations.

Magnitude just means "size" or "bigness" - so it can be used in many different situations.

Pythagoras' theorem just helps us to calculate magnitude in some situations:

If you imagine a graph with x going across and y going upwards, you can draw a line from the centre (where the axes cross at 0,0) to any point you like... for example the point 4,3 (x=4, y=3).

So if you then draw another line along the x-axis to 4, and another up to the end of your line, you have drawn a triangle, and you can use pythagoras to find the length (the magnitude) of your line

magnitude2 = x2 + y2

= 42 + 32

= 16 + 9 = 25
​
so magnitude in this case is sqrt (25) = 5

you could use this to calculate the size of a piece of wood you would need on a gate, or something much more advanced.

hope this helps,
Michael
 
Magnitude (in terms of vectors) is simply an application of the Pythagorean theorem. It's more of a subcategory than a side-by-side comparison.
 
ah..so meaning magnitude is the application of pythagorean theorem...ahhh... makes sense..

but how about resultant from magnitude??what is their differences??can you please help me?..im so confused right now..
 

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