Are |m-n| and |n|-|m| the same?

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The expressions |m - n| and |n| - |m| are not equivalent when m and n are vectors. The discussion highlights that the equality fails under certain conditions, such as when m equals n or m equals negative n. The absolute value of the difference between two vectors does not equal the difference of their magnitudes. Understanding the properties of vector operations is crucial in determining their relationships. Therefore, the two expressions are fundamentally different.
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hello, can someone please tell me if this is correct? no it is not for my homework.

place vector symbols above all letters.

|m-n| = |n|-|m|

place vector symbols about the letters to specify they are vectors

so are they the same?
 
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If I understand the question, then no they are not the same. Can you tell me why?
 
For example, look at m=n and m=-n.
 

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