BOOK: The Person and Ministry of the Holy Spirit
Chapter 1.1: Explanation of the Trinity

1.1    Explanation of the Trinity

The Godhead1 is made up of three persons, the Father - Jehovah, the Son - Jesus Christ, and the Holy Spirit.  We are sent out in all the world in their name:
Matthew   28:19
Go ye therefore, and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost:2
You will notice that it says a single name, because God is a singular Godhead, in complete unity and oneness with Himself, yet in three persons.  This has been revealed ever since the beginning of scripture:       
Genesis    1:1-3
In the beginning God created the heaven and the earth. And the earth was without form, and void;
and darkness was upon the face of the deep. And the Spirit of God moved upon the face of the waters. 
And God said, Let there be light: and there was light.
We see all three persons at the beginning, the Father speaking, the Word (Jesus)3 being spoken, and the Holy Spirit moving upon the waters.  The word spirit means literally forced breath; we see God willfully forcing His breath out, which carries His Word and power, to accomplish His purpose in the earth4.

The word God in Gen 1:1 is Elohim.  It is a singular word implying multiple units acting as one entity.  An example would be the word troop.  When we say here comes a troop, we know that there is more than one person in the whole unit, but we understand from the word that they are acting as one unit.  If we said troops, then we would understand that they were not acting in unity with each other.

One way to understand the Trinity is to look at H2O, which  we normally think of as water5.  However, it also comes as steam with much power and force for performing work6, and it comes as ice with the ability to refresh and to keep7.  But while the form changes, the molecule of H2O never changes. 

So is God.  Each of the Trinity has a spirit, a soul, and a body.  However, what makes them one God is that their Spirit is one Spiritual essence.  As
H2Ois always H2O, no matter the form, so is the Trinity.  You call that essence Elohim, with traits of agape love, zoe life, and dunamis power.

What makes man unique in all creation is that we were created in Elohim's image8 and of the same spiritual essence9

The Trinity always works in total agreement.  God is a covenant speaking God10, even among Himself. 

1. Acts 17:29, Rom 1:20, Col 2:9
2. 2 Cor 13:14, 1 John 5:7
3. John 1:1-3, 1 John 1:1-3, Heb 1:1-3
4. See Job 33:4, Ps 104:30, Luke 1:35
5. water is a giver of life, John 4:10
6. God's power delivers you and transforms you
7. God's Spirit refreshes you and keeps you
8. Gen 1:26
9. Gen 2:7
10. friendship covenant verse blood covenant