I need help with this problem please, and please answer all parts of the problem. This one has 12 answers so I'm having a really hard time.

Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (2,4,1) and lying in the plane 3x + 3y - 62 = 12. 1 r(t)=(2i +4] + k) +cost[i- j ]+sint[%i+%j+%] First write the three parametric equations for x, y, and 2. What is the parametric equation for x? x = (Type an exact answer, using radicals as needed.)