How to calculate magnitude of this function ?

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SUMMARY

The discussion focuses on calculating the magnitude of the vector-valued function f = (ax + jay). It emphasizes that the correct representation of the function should be f = (iax + jay) to align with standard notation. The magnitude of a vector function is defined as the square root of the inner (dot) product of the vector with itself, expressed mathematically as |f(x,y)|^2.

PREREQUISITES
  • Understanding of vector-valued functions
  • Familiarity with inner (dot) products
  • Knowledge of complex numbers and their representation
  • Basic calculus concepts related to functions and magnitudes
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  • Study the properties of inner products in vector spaces
  • Learn about complex number representations in functions
  • Explore vector calculus and its applications
  • Investigate the geometric interpretation of vector magnitudes
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Students in mathematics or physics, particularly those studying vector calculus and complex functions, will benefit from this discussion.

lazyaditya
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Homework Statement



f =(ax+ jay)

Homework Equations





The Attempt at a Solution



 
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Hi lazy aditya,

How about the "relevant equations". Like, what is the magnitude of a function?
 
lazyaditya said:
f =(ax+ jay)

Shouldn't this be f =(iax+ jay)

For a vector valued function |f(x,y)|^2 is the inner (dot) product of the vector with itself.
 

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