<br /> backward compatibility and will not cause processing problems if used in an HTML document.
Also, note that if you are not using your documents with the MIME type application/xhtml+xml , placing <br> in an XHTML document will not suppress it. This is a validation error to leave BR not closed in the XHTML document, but very minor, which is unlikely to cause any problems on its own.
EDIT: Oh yes, and in HTML5, closing / again is officially optional.
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