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

[mathzing]

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?

 

[berkeman]

If I understand the question, then no they are not the same. Can you tell me why?

 

[mathman]

For example, look at m=n and m=-n.