Horn of Salvation

What is “horn of salvation” (Luke 1:69)?
The horn of an animal is the focal point of its power (e.g., the horn of a rhinoceros), but once cut, the horn is also used to hold and pour oil: And the LORD said to Samuel, “Until when will you mourn for Saul, seeing I have rejected him from reigning over Israel? Fill your horn with oil and go. I am sending you to Jesse the Bethlehemite, for I have provided Myself a king from among his sons” (1 Samuel 16:1). The horn of salvation is both the power of salvation, and once cut down, the source from which salvation flows.

To whom does “horn of salvation” refer in the Old Testament?
God: “The LORD is my rock, and my fortress, and my deliverer, my God, my strength in Whom I will trust, my shield, and the horn of my salvation, my stronghold” (Psalm 18:2).

To whom does “horn of salvation” refer in the New Testament?
Jesus, whose earthly genealogy traces to King “David” (Luke 1:69) and from whom salvation flowed when He was 'cut down' on the cross.

Since God = horn of salvation = Jesus, does Jesus = God?
See Son of God.

Why does Zacharias say God “looked upon ... His people” (Luke 1:68)?
It had been four centuries since the voice of God and His prophets had fallen silent to the Jews and the Old Testament had closed. The Jews had been saying during these four centuries that God is looking away from them because of their incessant penchant for sinning. Zacharias is rejoicing that God is looking back at them again.

What is “redemption” (Luke 1:68)?
Regaining what belongs to you by meeting the requirement to retake possession.

How did God provide redemption for His people?
God the Father sent God the Son to pay the death penalty due for their sins (see John 3:16).