Matthew 3:13-17; The Baptism of Jesus Christ

In this small section we are taught many things about Christ and his example to us and we are also taught about the nature of the Godhead and how they are three separate beings.
John was quite hesitant to baptize Jesus, in Matthew 3:14 it says "But John forbade him, saying, I have need to be baptized of thee, and comest thou to me?" John was hesitant because he felt that Christ was greater than him and he felt that Christ should have baptized him. I feel that this is an amazing example of John's humility as well as Christ's humility to give us an example to follow even though he was perfect.
We are taught a lot about the Holy Ghost in this passage, we learn that the Holy Ghost is a separate being and that he is a personage the Prophet Joseph Smith said, "It does not confine itself to the form of a dove, but in sign of a dove" I think that this is very interesting, earlier in the quote it said that the devil cannot take the for or make a sign of the dove. This to me shows that by doing this Christ was doing exactly what he should have because the sign of the dove appeared. This leads into how Christ was fulfilling all righteousness by being baptized. 
Christ did not technically need to be baptized because he had lived a perfect life, but he did for a few reasons, to me the first and most important is to give us an example of what we are to do and how we can best follow him. Another reason that Christ did it was to fulfill all righteousness, and obey the commandments that His Father has given. To me another reason that Christ was baptized was simply because He loved us and wanted us to be able to come to understand how much that He loved us by doing this seemingly small act.
With a careful reading of Matthew 3:13-17 it becomes clear that the Godhead is three separate beings. This is because, Jesus Christ was in the water being actually baptized, the Holy Ghost "desecen[ed] like a dove, and lighting upon him" and a Heavenly Father spoke saying, "This is my beloved son in whom I am well pleased." To me this shows that that the Godhead is three separate beings because they all had a part on Christ's baptism doing different things.