Develop a Modern Responsive E-commerce Landing Page with Interactive Ui

We are seeking an experienced web developer to create a modern, responsive e-commerce landing page. The primary goal is to build an engaging and high-converting page that provides a seamless user experience across all devices. The project requires the implementation of several key features:

- A clean and visually appealing hero section to capture user attention.
- A dynamic product grid, showcasing various products with interactive hover effects.
- A stylish and functional sliding login and signup user interface, ensuring a smooth registration and access process.

The design must be fully responsive, adapting flawlessly to desktop, tablet, and mobile screens. All interactions and transitions should incorporate smooth animations to enhance the user experience. The final deliverable must consist of clean, well-structured, and optimized html, css, and javascript code, adhering to modern web development standards.