The excerpts from the book quoted above by vaysh11 are what I'm remembering. And Harry had a wand for both, and from what I understood from the book, Snape expected Harry to be doing Occlumency. At that age, I figured the wand helped power the spell. So, I chose both the first answers. I think if you're very learned in Occlumency and Ligilimency then you wouldn't need a wand. But honestly, if it's writing you're doing, you could probably make a case for any of it by also giving a reason in the story.