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Please ask me if this is not what you intended.In summary, when the magnitude of addition is equal to the magnitude of difference of two vectors, the angle between them will be 90 degrees. This can be explained by setting the equations for the magnitudes of the sum and difference equal to each other and simplifying, and considering the scalar (dot) product of the two vectors. Further discussion on this topic can be found at https://www.physicsforums.com/threads/when-magnitude-of-addition-is-equals-to.795617/.

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H.D. M A K said:

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Think about two vectors: (a1, b1, c1, ...) and (a2, b2, c2, ...)

What are the magnitudes of the sum and difference of these two vectors? Set these two equations equal to each other and simplify.

What is the scalar (dot) product of the two vectors? How is this related to the result from the first part?

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@H.D. M A K , I split off your other question, and moved it to https://www.physicsforums.com/threads/when-magnitude-of-addition-is-equals-to.795617/.

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"Magnitude of addition is equal to" refers to the size or amount of the result when two or more numbers are added together. It represents the total combined value of the numbers being added.

The magnitude of addition is calculated by adding the absolute values of the numbers being added together. This means that you ignore the positive or negative signs of the numbers and simply add their numerical values.

The magnitude of addition is an important concept in mathematics because it allows us to understand the total value of a set of numbers when they are combined. It is also a fundamental operation in arithmetic and is the basis for more complex mathematical operations.

Yes, the magnitude of addition can be negative if the numbers being added together have negative values. However, the absolute value of the result will always be positive.

The magnitude of addition and the sum of two numbers are essentially the same thing. However, the term "magnitude of addition" is often used in more technical or scientific contexts, while "sum" is a more general term used in everyday language.

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