How many electrodes that should we us to control the movement of the right hand joints (shoulder, elbow and wrist) by EEG signal,e ? What are these electrodes?
I'm not sure you can really call EEG signal "responsible" for hand movements (implying causation), but semantics aside...
For the movements of the right hand you should record over the left motor cortex (and vice versa for the left hand). Using the 10-20 system (see attached link) you would typically use C3, C1, Cz and maybe some electrodes around them if you want to construct Laplacian spatial filters.
The simplest montage you could use would be a bipolar recording between C3 and Cz probably (this has been used to detect imagined movements).
Also, to my knowledge, it hasn't yet been convincingly demonstrated that it's possible to decode kinematics from EEG, although some people have been trying (see the article in links).
You can detect that the hand moved, but not much more than that as far as I know.
http://www.gtec.at/var/plain_site/storage/images/media/images/support/mount_eeg_10_20_system/10664-3-eng-GB/mount_eeg_10_20_system.png
http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0061976
I'm not sure what you exactly mean by "determine this electrodes"?
Usually people use caps to fit electrodes to the scalp, and the layouts of the caps are usually provided by the manufacturer and comply with the 10-20 system I linked in the original answer. If you have a cap, look up the layout for it and it should have positions C3, C1 and Cz.
If you don't have a cap, you can determine the positions using a measuring tape and few anatomical landmarks (see the link).
The C1 position is not defined in the original 10-20 system, but it is halfway between Cz and C3.
http://www.trans-cranial.com/local/manuals/10_20_pos_man_v1_0_pdf.pdf
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