Login Screen - Copy this React, Tailwind Component to your project

Design a login screen UI for an English vocabulary learning website. The screen should feature input fields for logging in with email and password, with appropriate icons (such as an envelope for email and a lock for password) placed before the text labels. Below the form, provide additional options for logging in via Facebook or Gmail, with distinct social media icons. Include a 'Sign Up' button for new users to register. The design should be modern, clean, and user friendly, with a minimalist educational theme and light, welcoming colors. Ensure all buttons and icons are clear and easy to interact with.