The three axes form a right-handed system
It is conventional for most Cartesian coordinate systems to beright-handed. To see what this means, hold the thumb, index finger and middle finger of your right hand perpendicular to each other:
Now you can orient your hand so that the thumb points along the X-axis in the positive direction (direction of increasing coordinate numbers), the index finger along the positive Y-axis, and the middle finger along the positive Z-axis. Another way of looking at it is, if you placed your eye at the origin, and you could see the three arrows pointing in the directions of positive X, positive Y and positive Z as in Figure 1, the order X, Y, Z would go clockwise.
Another view of right-handed system
Yet another way to understand this is to make a fist with your right hand, with the fingers bent towards you. Stick out your thumb directly to the right(X). Now aim pointer finger straight up(Y). Finally make your middle finger pointing towards yourself(Z). This is looking down from above directly on top of origin
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