Now, there are two wrong extremes people have made involving the Trinity.
#1. Modalism
(Which is a belief held by United Pentecostals).
This says that there is no distinctive persons within the Godhead. That God the Father just puts on a mask and pretends to be the Son; Others believe it says all three persons are smashed together whereby the Father, the Son, and the Holy Ghost do not have any kind of distinctiveness anymore. But the Bible makes it clear that the Father sent the Son to die for our sins (And it was not the Son sending the Father) (1 John 4:14). The Bible makes it clear that one cannot be forgiven if they speak a word against the Holy Spirit but yet, this is not the case if one speaks a word against the Son, though (Matthew 12:32).
#2. Tritheism
(Which is a belief held by Mormons).
This says that the Father, the Son, and the Holy Ghost are three separate and distinct gods. This is polytheism or the worship of more than one God. But the Bible makes it clear that the Lord our God is one God (Deuteronomy 6:4).
Then there is the correct view of the Trinity.
The Lord our God exists as one God, but He exists as three distinct persons (i.e. The Father, the Word (Christ), and the Holy Ghost). All three persons co-existed as one God for all eternity. Also, in the Trinity, the Father and the Son and can dwell within one another despite their distinctiveness as persons within the Godhead, too. For Jesus said He dwells in the Father and the Father dwells in Him (John 14:10) (John 17:21).
Yet to us is one God, the Father,
of whom are the all things,
and we to Him; and one Lord, Jesus Christ,
through whom are the all things,
and we through Him (but not in all men is the knowledge, and certain
with conscience of the idol, till now,
as a thing sacrificed to an idol do eat it, and their conscience, being weak, is defiled). 1 Cor 8:6-7
One Lord Jesus Christ through whom are all things..
By the word (Hebrew:
dabar) of the LORD were the heavens made; and all the host of them by the
breath (Hebrew
ruach: Spirit) of His mouth. Ps 33:6
It is the Spirit that makes alive, the flesh profits nothing.
The words that I speak to you are spirit and are life. John 6:63
Before the mountains were brought forth, or ever You had formed the earth and the world, even from everlasting to everlasting You are God. Ps 90:2
The LORD possessed Me in the beginning of His way, before His works of old.
I was anointed from everlasting, from the beginning, before the earth ever was.
When there were no depths, I was brought forth; when there were no springs heavy with water.
Before the mountains were settled, before the hills, I travailed; Ps 8:22-25
In the beginning was the Word, and the Word was
with the LORD (ho he to theos), and the Word was God (theos);
this one was in the beginning
with God;
all things through him were caused to be, and without him was not even one thing caused to be that hath been caused to be.
In him was life, and the life was the light of men. John 1:1-4
Philip said to Him, Lord, show us the Father, and it is enough for us.
Jesus said to him, Have I been with you such a long time and yet you have not known Me, Philip?
He who has seen Me has seen the Father. And how do you say, Show us the Father?
Do you not believe that I am in the Father and the Father in Me?
The words that I speak to you I do not speak of Myself, but the Father who dwells in Me, He does the works. John 14:8-10
Father, Word (Son), and Holy Spirit throughout God's Revelation of Himself in the Biblical scriptures.