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. :|