1. The problem asks for the coordinates of point R on the Cartesian plane. 2. The x-coordinate is the horizontal position, and the y-coordinate is the vertical position. 3. Point R is located 3 units to the right of the origin, so the x-coordinate is $3$. 4. Point R is located 2 units down from the origin, so the y-coordinate is $-2$. 5. Therefore, the coordinates of point R are $(3, -2)$. 6. Comparing with the options given, the correct answer is B. $(3, -2)$.