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Routing, short for Application Routing, is the mechanism by which web requests are mapped to specific code handlers, controllers, or actions in applications. It determines how URLs are interpreted and which backend logic responds to them. Routing is used across web frameworks in PHP, JavaScript, Java, and other environments.

Vue Router, short for Vue Router Library, is the official routing library for Vue.js applications, providing declarative navigation and route management for single-page applications (SPAs). It enables developers to define URL paths, manage dynamic routing, and map components to specific routes, ensuring smooth navigation without full page reloads.

React Router, short for React Router Library, is a declarative routing library for React applications, allowing developers to manage navigation and render components based on URL paths. It can be installed for personal or business projects using npm or yarn from reactrouter.com/en/main. React Router supports both client-side and server-side routing, enabling single-page applications (SPAs) to provide dynamic, responsive navigation without full page reloads.