Final answer:
In robotics and regarding the Cartesian coordinate system, a P-move directs a robot to move to a specific point. Using the unit vectors i and j to define axes, a path can be programmed efficiently to reach the desired location. The term 'total displacement' signifies the resultant path or the direct move from start to end.
Step-by-step explanation:
In the context of the Cartesian coordinate system and robotics, a programmed P-move allows a robot to move to a specific point within the system. The Cartesian coordinate system consists of the x-axis and y-axis, defined by unit vectors i and j respectively, and it's used to plot positions in a two-dimensional plane. When programming a robot, a P-move would involve specifying the coordinates of the desired point, and the robot would execute the move to reach that precise location. For instance, if the coordinates are given as (x, y), the robot will move horizontally and vertically within the coordinate system to reach this point.
Furthermore, if A and B represent two displacements, such as two legs of a robot's path, then R symbolizes the total displacement or the resultant path. The robot will finally arrive at the tip of R. Regardless of the route taken during its travel, multiple paths can lead to the same endpoint, but a P-move is often programmed for the most efficient journey from the initial to the final position.