Without references, you state:
In this picture if you noticed her rotating clockwise you are right
We discourage asking questions on this site (or in science in general) which are based on unverified/referenced premises. However, given that this is a very common notion found online, I will try to answer your question by first helping you rephrase it.
What you should have asked is something along the lines of:
I have read online articles (e.g., on learning-mind.com) which claim that if you perceive the
figure in the following image rotate clockwise it means you are right
brain dominant and when you see her rotating counterclockwise it means
you are left brain dominant. However, the mechanism behind this is not
well explained. How does this test work and what exactly does it imply?
This figure is known as the 'Spinning Dancer' and there is a wikipedia article on it. The wikipedia entry states that:
In popular psychology, the illusion has been incorrectly identified
as a personality test that supposedly reveals which hemisphere of the
brain is dominant in the observer.
They link to NEUROLOGICAblog, "Left Brain – Right brain and the Spinning Girl", which explains that:
This news article, like many others, ignores the true source of this
optical illusion and instead claims it is a quick test to see if you
use more of your right brain or left brain. This is utter nonsense,
but the “right-brain/left brain” thing is in the public consciousness
and won’t be going away anytime soon.
Instead, they explain what is actually going on:
The spinning girl is a form of the more general spinning silhouette
illusion. The image is not objectively “spinning” in one direction or
the other. It is a two-dimensional image that is simply shifting back
and forth. But our brains did not evolve to interpret two-dimensional
representations of the world but the actual three-dimensional world.
So our visual processing assumes we are looking at a 3-D image and is
uses clues to interpret it as such. Or, without adequate clues it may
just arbitrarily decide a best fit – spinning clockwise or
counterclockwise. And once this fit is chosen, the illusion is
complete – we see a 3-D spinning image.
In case you have specific questions on what 'hemispheric dominance' is and how we can determine it, the article (to my understanding, correctly) mentions:
We also do have hemispheric dominance, but that determines mostly your
handedness and the probability of language being on the right or the
left. There is also often asymmetry for memory, with some being right
or left hemisphere dominant.
I'm certain you can find more scientific sources on this by googling (I would recommend Google Scholar), or by looking on this site. At the time of writing, we have 12 search results on 'hemispheric dominance'.