Expressing strong disagreement:
* The politician vehemently denied any involvement in the scandal.
* She vehemently opposed the new policy, arguing it would harm the environment.
Expressing strong emotion:
* He vehemently defended his friend's honor after the accusations were made.
* The audience vehemently applauded the singer's powerful performance.
Emphasizing intensity:
* The storm raged vehemently, battering the coastline with heavy rain and winds.
* The two teams vehemently contested for possession of the ball, refusing to yield.
Adding a touch of drama:
* He vehemently declared his love, promising to cherish her forever.
* The protesters vehemently demanded justice, their voices echoing through the streets.
Remember that "vehemently" is a strong word, so use it carefully and only when necessary.