This question plagued me for a very long time. I agree believing is trusting, and I take this to primarily mean trusting Jesus’ testimony about Himself - who He is, what He came to do, and what He will do in the future. In other words, believing or trusting hangs primarily on Jesus’ identity. I think that once this basic trust is established, i.e, that one belives that Jesus IS who He claimed to be, then, the fruit of believing in Him, will actually incorporate all three of the things you listed (You would obviously have to trust someone to follow them, let them take control, or carry out their commands to love all people).
So, for example, Jesus said things like “Whoever sees me, has seen the Father.” In this context, I think believing means trusting the testimony of Jesus, that He is, (to borrow from the writer of Hebrews,) “the radiance of the Glory of God, and the exact representation/imprint of the nature of the Father.” Therefore, if we trust this testimony, we can then have confidence that Jesus reveals the intent and character of God the Father, and that His words are absolutely trustworthy.
Words such as:
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“I am the light of the world. Whoever follows me will not walk in darkness, but will have the light of life” or
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“…Whoever does not obey the Son shall not see life” or
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“…Whoever does not *bear his own cross *and come after me cannot be my disciple”
As such, we follow Him; we obey Him. But, of course, such trust in Jesus wouldn’t only lead to obedience, but dependency on His promises. If one believes or trusts that Jesus is who He said He is, then, one can also depend on promises such as:
- Provision for food, drink, and clothing (Matthew 6:30-33)
- Forgiveness of sins (Luke 24:47)
- And etc
In addition, Jesus even helped others understand what believing is, by using metaphors? such as “drinking, eating, coming, receiving” as seen in John 6. Jesus says, if you’re hungry, come to me for true bread. If you’re thirsty, come to be for true drink. Feed on me. Those are helpful, too, since for some people, believing in Jesus simply means trusting Him to satisfy the hunger and thirsts of their souls.
Dunno, if this is helpful.