How to calculate magnitude of this function ?

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To calculate the magnitude of the function f = ax + jay, it's essential to understand that the magnitude is derived from the inner (dot) product of the vector with itself. The correct representation of the function should be f = iax + jay, incorporating the imaginary unit. The magnitude is calculated as |f(x,y)|^2, which equals the sum of the squares of its components. Understanding these concepts is crucial for solving related problems effectively. The discussion emphasizes the importance of correctly identifying the components of the vector function.
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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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