1.
If members of an organization pass a vote or motion of no-confidence in someone, they take a vote which shows that they no longer support that person or their ideas.
A call for a vote of no-confidence in the president was rejected...
...a no-confidence motion.
≠ confidence
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2.
You can refer to something people say or do as a vote of no-confidence when it shows that they no longer support a particular person or organization.
Many police officers view this action as a vote of no-confidence in their service.
≠ confidence
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