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

[bogoa]

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

 

[danskal]

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

 

[Anonymous217]

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.

 

[bogoa]

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..

 

[CellCoree]

Magnitude refers to the size or amount of something, often represented by a numerical value. It can be applied to various quantities, such as distance, force, or energy. Pythagorean's theorem, on the other hand, is a mathematical equation that relates the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The concept of magnitudes is fundamental in many branches of science, including physics, chemistry, and mathematics. It allows us to quantify and compare different physical quantities, making it easier to understand and analyze the natural world. For instance, in physics, we use magnitudes to measure the strength of a force, the energy of a system, or the velocity of an object.

In real-life situations, we apply the concept of magnitudes in various ways. For example, when we measure the distance between two cities, we are using the magnitude of distance. Similarly, when we calculate the force needed to lift an object, we are using the magnitude of force. In engineering, magnitudes are crucial in designing structures and machines, as they help determine the strength and stability of the materials used.

Overall, the concept of magnitudes is essential in understanding and describing the physical world around us. It allows us to make accurate measurements, analyze data, and solve problems in various fields of science and everyday life.