This is a question from my calculus 3 class.

"Show that the graph ofr= sin(t)i+ 2cos(t)j+ sqrt(3) * sin(t)kis a circle and find its radius and center."

In my head, I know that in 3-spacerwill be a circle that is sort of at an angle due to thekcomponent oscillating. But how do I prove this (like where do I start since this seams so trivial)? And for whatever reason I can't figure out the radius and center. 3-d and parametric equations don't seem to sit in my head and my textbook isn't helping either.

Edit: I'm assuming the center is the origin, but not a hundred percent sure.

Edit: Would taking the norm orrgive me the radius if I plug in some value t?

Edit: I think I got it. :|