When magnitude of addition is equals to

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When the magnitude of the addition of two vectors equals the magnitude of their difference, the angle between them is 90 degrees. This can be explained mathematically by setting the equations for the magnitudes of the sum and difference equal to each other and simplifying. The scalar (dot) product of the two vectors also plays a crucial role in this relationship. Understanding the individual magnitudes and the angle between the vectors is essential for grasping this concept. The discussion emphasizes the importance of vector analysis in determining angles based on their magnitudes.
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When magnitude of addition is equals to the magnitude of difference of two vectors then the angle between them will be 90 degrees... How and Why ? can anyone explain it ??
Any help will be appreciated..
Thanks
 
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Did you draw a sketch? Can you express the magnitude of the sum and the difference in terms of their individual magnitudes and the angle?
 
H.D. M A K said:
When magnitude of addition is equals to the magnitude of difference of two vectors then the angle between them will be 90 degrees... How and Why ? can anyone explain it ??
Any help will be appreciated..
Thanks

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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