"In Christianity, Trinity is the doctrine that God is one being who exists, simultaneously and eternally, as a mutual indwelling of three persons (not to be confused by "person"): the Father, the Son (incarnate as Jesus of Nazareth), and the Holy Spirit.
In the Trinity, the Three are said to be co-equal and co-eternal, one in essence, nature, power, action, and will. " (http://en.wikipedia.org/wiki/Trinity)
If God is omnipotent (all powerful) then by all means The Father, Spirit, and Son do not have to exist in three persons.
God in plural: And God said, Let us make man in our image, after our likeness: (Genesis 1:26)
God
Hebrew word: 'elohiym - this is word is plural of 'elowahh which means (1.God, 2. false god)
elohiym is used in the Old Testament refering to YHWH 2,346 times.
[http://cf.blueletterbible.org/lang/lexicon/lexicon.cfm?Strongs=H0430&Version=kjv]
And above the firmament that [was] over their heads [was] the likeness of a throne, as the appearance of a sapphire stone: and upon the likeness of the throne [was] the likeness as the appearance of a man above upon it.(Ezekiel 1:26)
I am Alpha and Omega, the beginning and the ending, saith the Lord, which is, and which was, and which is to come, the Almighty.(Revelation 1:
5And he that sat upon the throne said, Behold, I make all things new. And he said unto me, Write: for these words are true and faithful.
6 And he said unto me, It is done. I am Alpha and Omega, the beginning and the end. I will give unto him that is athirst of the fountain of the water of life freely.(Revelation 21:5)
So like I said right now God does exist in three distinct persons but does not by any means have to even though He does.
What do you think?
Note: This is not stating my beliefs rather one of my thoughts on the ubject because I have not completely came to a conclusion and I may never until the day I die and am able to meet our Lord God Jesus Christ.