Can I script examples from the Unity scripting api in my asset in the scenes of such use

Its possible to use unity assets in your finished game/project so (and I'm only assuming here) that using the scripts comes under the same definition.

after all..

 void OnTriggerEnter (Collider other) 
     {    
         if (other.tag == "Bullet")
         {
             Destroy(other.gameObject);
         }
     }
 
 

from the API, looks exactly the same as..

 void OnTriggerEnter (Collider other) 
     {    
         if (other.tag == "Bullet")
         {
             Destroy(other.gameObject);
         }
     }
 

written by a unity user. My point being its simply a way of teaching people to code correctly.

;)