Steely gaze noun phrase cliché
A prolonged, strong and determined look, especially when one is expressing disapproval or displeasure
My younger brother made noises while we were having dinner at the restaurant. My mom silenced him with a steely gaze.
Mark fixed a steely gaze on his opponent.
To quickly look at someone or something
If a person "casts around for someone or something", he/she looks around to find something/someone, or search for an idea.
Try to look everywhere for someone or something
Look through something such as a window, the fog, binoculars etc.
To look around for something or hunt for something.