The v-if directive in Vue controls whether an element is rendered in the DOM based on a condition. When the component renders, Vue evaluates the v-if condition. If the condition is true, Vue adds the element to the DOM. If false, Vue skips rendering the element, so it does not exist in the DOM at all. This means the element is removed completely, not just hidden. For example, if a reactive variable 'show' is true, the paragraph with v-if='show' appears. If 'show' changes to false, Vue removes the paragraph from the DOM. This behavior helps control what the user sees dynamically and efficiently.