The Right-Hand rule means that if you position the x and y axes of a three dimensional axis system so that as the x-axis is rotated to the y-axis position as if you were gasping with your right hand, and rotating as if you were closing you your fist (fingers rotating into the palm of your hand), your Thumb would be pointing along the direction of the POSITIVE z-axis. That is what the description is trying to say.
AW