How to add video in a blogger side bar?

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In Blogger's Theme → Edit HTML, locate the <b:section> that renders the sidebar and drop a <b:widget type='HTML' title='Featured Clip'> with an <iframe> pointing to your video host.
Wrap it in a <div class='vid-wrap'> and apply a CSS fluid‑box rule (max‑width:100%; height:auto). This single snippet will persist across the entire post feed.