This document compares CSS3 and jQuery for selecting elements, manipulating HTML elements, and animating elements. CSS3 allows for robust element selection using pseudo-classes like :first-child and :nth-child(n). Both CSS3 and jQuery can toggle submenus on hover. CSS3 also enables styling HTML5 elements and form validation. jQuery simplifies DOM manipulation through methods like .show() and .hide(). CSS3 introduces transitions, transforms and animation capabilities with keyframe rules. The document recommends using jQuery and CSS3 together, with jQuery for interactive behaviors and CSS3 for static styles, transitions and animations. Modern frameworks like jQuery Mobile combine both for rich mobile web experiences.