Vectors are positive oriented.

Question

I yesterday posted about orientation of vectors I have question regarding that.

This is how we defined orientation.

Used from one point in the space non-flat(not in same plane) $OA$ $OB$ $OC$ triplet of vectors are called right triplet if man sitting at point $C$ is seeing shortest rotation from $OA$ to $OB$(around point $O$) in the plane that is passing with points $O,A,B$ in the counter-clockwise direction.

This is picture for that.

Now using this definition can you describe me how $(c,a,b)$ vectors are right-handed.

This is how I understand it but in this way it isn't in clockwise way?So it is negative oriented. Thank you.

Answer 1

In your final picture, you aren't sitting at point $B$. You are sitting on the opposite side of the plane $OAC$ from point $B$. Thus any rotation you see in that plane has the opposite direction from what a person at $B$ would see.