The two most common causes of crashes are video driver bugs and bad RAM.
You can look for clues in logs in /var/log. Video problems are logged in /var/log/Xorg.0.log. Problems detected by the kernel are logged in /var/log/kern.log or /var/log/messages or some other file depending on the distribution, I don't know which file Manjaro uses.
However, if your system crashes, it often doesn't get a chance to write to the logs.
Do run a memory test. Install Memtest86+ (Arch Linux has it as a package, so you should have it on Manjaro as well). Reboot and select “memory test” at the Grub prompt and let it run for at least one full pass.
If you suspect a video driver problem, try using the free driver if you were using the proprietary driver, or vice versa.