Find an equation of the sphere with center (1, 12, 6) and radius 10. Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-plane intersection with xz-plane intersection with yz-plane Find an equation of the sphere that passes through the origin and whose center is (2, 1, 3). Find a vector a with representation given by the directed line segment E. A(5, 2), 8(1, 3] Draw E and the equivalent representation starting at the origin. Find the sum of the given vectors. a = (2, -5), b = (-1, 9Find a + b, 4a + 2b, la|, and la - b|. (Simplify your vectors completely.) a = (4, 1, -8), b = (8, -2, 1) a + b = 4a + 2b = lal = la - b| =