Three studies were conducted with the Rapid Sequential-Positioning (RSP) task, comparing the benefits of binocular-parallax depth cues vs. motion-parallax depth cues in performing teleoperator tasks. Operators moved a manipulator as quickly as possible to touch, in random sequence, ten target sites embedded in a complex wire maze. In all three studies, operators were tested under four video display conditions: 2D static, 2D motion-parallax, 3D static, 3D motion- parallax. the data indicated a significant 2:1 advantage for the 3D stereo (binocular parallax) condition vs. the 2D condition, with a smaller significant advantage for motion-parallax, suggesting that in a 3D display, motion-parallax depth information is largely redundant with the binocular parallax depth cues.