You should take your vehicle log book (V5C) with you if you’re taking your vehicle abroad for less than 12 months. You may have to show it if you’re stopped at a port or while driving abroad by police / border controls.
Make sure your V5C has your current addreess.
You can apply in advance if you need to get a V5C or update your V5C before you travel. Due to Coronavirus (COVID-19) it may take longer than usual to process.
UK law still applies to a UK-registered vehicle if you take it abroad for less than 12 months. That means you need to make sure:
your vehicle is taxed in the UK while it’s abroad
you have a current MOT
you have insurance
You’ll also need to make sure you meet any international or national conditions for licensing and taxation.