2. (10 points) Consider the sphere + y2 + x2 + 2x - 4y +62 = 11. (a) Find the vector equation of the line which passes through the point (2,0,3) and is normal to the sphere. (Being normal to the sphere means the line is orthogonal to the surface of the sphere.) (b) Reparametrize the line found in part (a) by arclength. (c) Suppose that a lizard is walking on the surface of the sphere and a bug is sitting at the point (2,0,3) outside of the sphere. Use your answer in part (b) to find the location in coordinates) where the lizard is closest to the bug. (Hint: Pay close attention to the orientation of the line equation you created in part (a) before you answer this question as your later choices will depend on it.) 2. (10 points) Consider the sphere + y2 + x2 + 2x - 4y +62 = 11. (a) Find the vector equation of the line which passes through the point (2,0,3) and is normal to the sphere. (Being normal to the sphere means the line is orthogonal to the surface of the sphere.) (b) Reparametrize the line found in part (a) by arclength. (c) Suppose that a lizard is walking on the surface of the sphere and a bug is sitting at the point (2,0,3) outside of the sphere. Use your answer in part (b) to find the location in coordinates) where the lizard is closest to the bug. (Hint: Pay close attention to the orientation of the line equation you created in part (a) before you answer this question as your later choices will depend on it.)