Parametric equations, circle, center, radius

This is a question from my calculus 3 class.

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

In my head, I know that in 3-space **r** will be a circle that is sort of at an angle due to the **k** component 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 or **r** give me the radius if I plug in some value t?

Edit: I think I got it. :|