Definition of vacuously adverb from the Oxford Advanced Learner's Dictionary

 

vacuously

 adverb
adverb
BrE BrE//ˈvækjuəsli//
 
; NAmE NAmE//ˈvækjuəsli//
 
(formal)
 
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in a way that shows no sign of intelligence or sensitive feelings He stared down at her, grinning vacuously.