The Wikipedia article of Givens rotation says
If $G(i, j, \theta)$ denotes a Givens rotation in the $(i, j)$ plane of $\theta$ radians, then:
The product $G(i, j, θ)x$ represents a counterclockwise rotation of the vector $x$ in the $(i, j)$ plane of $\theta$ radians, hence the name Givens rotation.
Then later it says
... a Givens rotation ... does not necessarily respect the right-hand rule ...
Well as I know the right-hand rule defines rotations in counter-clockwise order.
Now here is the confusion: if $G(i, j, \theta)x$ is a rotation of the vector $x$ in counter-clockwise order, and if right-hand rule also defines rotation in counter-clockwise order, how is it possible that Givens rotation doesn't necessarily respect the right-hand rule?