4. Consider the following verbal descriptions of surfaces in R3. Determine what type of surface is being described by writing an equation and simplifying. In addition, provide a quick sketch of this surface. (a) The set of all points (2:,y,z) that are equidistant from (2,0,0). Equation: Name of Surface: (b) The set of all points (at, y, 2:) whose position vector from the origin is perpendicular to the vector (1,1,1). Equation: Name of Surface: (c) The set of all points (1:, y, 2:) such that the sum of the distance from (1,0,0) to (x,y,z) and the distance from (1,0,0) to (m,y,z) is equal to 1. Equation: Name of Surface: ((1) The set of all points (x, y, z) that are equidistant from the point (0, 2, 0) and the plane 3; = 2. (Hint: The distance from a point (3,952) to the plane 3; = 2 is |y + 2|) Equation: Name of Surface