I need solve this assignment of math 261

Question 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' . J Find an equation of the sphere that passes through the point (2, 0, 1) and centered at the point (0, I, 1). ML I Does the point P(3, I, 0) belong to the sphere found in part (b)? Justify your answer. Work Problem 2 [2' _ (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. (b)l f Let A(2, 5, x) and B(4, 7, 2) be two points in the three-dimensional space. Find the > > value of x such that the vectors 0A and OB are orthogonal. (c)[[ .. I Let x be the value found in part (b), and let C be the fourth vertex of the rectangle OACB. Find the area of this rectangle