In Vue, provide and inject allow a parent component to share data with any deep child component without passing props through every intermediate component. The parent calls provide with a key and value. Intermediate components do not need to handle this value. Deep child components call inject with the same key to receive the value. This mechanism uses Vue's internal context to pass data down the component tree. If multiple providers exist for the same key, the closest ancestor's value is injected. If no provider exists, inject returns undefined or a default if specified. This pattern helps manage deeply nested data sharing simply and cleanly.