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

AI Thread Summary
Magnitude refers to the size or extent of a quantity and can be applied in various real-life situations. Pythagoras' theorem is a mathematical formula used to calculate the magnitude of a line segment in a coordinate system, specifically by forming a right triangle. The formula states that the square of the magnitude equals the sum of the squares of the other two sides. In vector terms, magnitude is essentially an application of Pythagorean theorem principles. The discussion also touches on confusion regarding resultant vectors and their relationship to magnitude, indicating a need for further clarification on these concepts.
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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