# Prove that the metric area is defined as P < x_{1}, y_{1} > and Q < x_{2}, y_{2} >. If the proof of examples says that the first properties (positive definiteness and symmetry) are trivial. Prove the versatility of properties for a given space.

Prove that the metric area is defined as . If the proof of examples says that the first properties (positive definiteness and symmetry) are trivial. Prove the versatility of properties for a given space.
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Latisha Oneil
Step 1
Firstly, the metric should be defined. The properties must be remembered always while working on metric spaces.
The metric properties are, if d is a metric, given as:

Step 2
Here, the metric should be defined as must be the distance between the point x and y.