(4) (a) Find the equation of the sphere S with center (0,0,0) and radius 4. (b) Find the line L containing (0, 0, 0) and
(4) (a) Find the equation of the sphere S with center (0,0,0) and radius 4. (b) Find the line L containing (0, 0, 0) and its direction vector is the vector (2, 1, 2). (c) Find the two intersection points M1 and M2 of L and S. ((1) Find the equation of the planes P1 and P2 that are tangent to S at M1 and M2. Are the planes parallel? What is the distance between these planes
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