Problem 2 (20 points): In a 3D Cartesian coordinate system, there is a point A (x=1.0 A, y = 1.0 A, z=0.0 A) that has a 222 point group symmetry. It means that there are three 2- fold rotation axes (green-color lines in the following figure), each of which is parallel to the x-axis, y-axis, and z-axis, respectively; these three rotation axes also intercept together at the point A (x=1.0 A, y = 1.0 A, 2:00 A). For a point B with its Cartesian coordinate (x = 2.0 A, y = 3.0 A, z = 4.0 A), write down the Cartesian coordinates for all its symmetry-equivalent points (including point B itself) due to this 222 point group symmetry in this Cartesian coordinate system. You need to write down the key calculation steps. 9 (a, I}. D)' / WI. ' A (arm A. y 71.0 A. run A)