I have a Windows laptop machine with a traditional hard disk drive and I used it for a year and then I turn on the full disk encryption (Including system and non system partitions) using veracrypt fde. Password is secure and is only in my head. In near future I have to travel to a country where I believe I'll be asked to reveal the password by airport officials to decrypt the contents of drive (they can also copy data bit by bit from my drive). To avoid that I don't want to carry any data on the hard drive and it's OK for me to destroy the information rather than handing over to government officials. I have also read the Electronic Frontier Foundation guide on this but that emphasize more on wiping the drive.
Using Ubuntu live USB, simply quick formatting the whole drive will make it impossible to read contents? I know quick format doesn't write any new data and old data is still there but as encryption keys are derived from the password and with out it the encrypted data still present in the drive will be useless to authorities? or do i have to rewrite whole drive with zeroes or random data? which is a bit time consuming.