Play PS2 on DVI-in projector?

I’m looking to connect my PS2 (with composite out) to my Optoma Projector with DVI in. What is the most simple way to do this? I know nothing about cable converting/scaling other than what I’ve tried to search for.

Will this cable work?

The projector outputs at 720p at 60hz, will the picture still be clear? I’m thankful for any help :flower: