I need solve this questions of calculus III

Work problems 1 (a)[I ' Show that the following equation represents a sphere. and nd its center and radius. x2+y2+zz+(10)x +(2)y+(8)z +17: (b)l" . .1 Find an equation of the sphere that passes through the point (2, 0, 1) and centered at the point (0, 1, l). (c)i. I Does the point P(3, l, 0) belong to the sphere found in part (b)? Justify your answer. Work Problem 2 [I _ (a)l.. _ Find a vector equation and parametric equations for the line that passes through the point A(5, 1, 4) and parallel to the line: x=51+3,y=t+2, z=2t+2. (13)] 'f Let A(2, 5, x) and B(4, 7, -2) be two points in the threedimensional space. Find the > > value of x such that the vectors 0A and OB are orthogonal. (c)[( _ 2 Let x be the value found in part (b), and let C be the fourth vertex of the rectangle OAC B. Find the area of this rectangle