The flip side of the Father living and working in Jesus was Jesus' total dependence upon his Father.
We see this in Jesus' response to the Jews after healing the invalid by the pool of Bethesda (John 5:1-15). When charged with blaspheming because he called God his "own Father", Jesus replied, "I tell you the truth, the Son can do nothing by himself; he can only do what he sees his Father doing, because whatever the Father does the Son also does... By myself I can do nothing..." (vv. 19, 30).
This is an emphatic and clear declaration. Jesus didn't go around simply relying on his Father to help him out as he implemented his own plans. No! He didn't do anything apart from his Father. His life was that of a faithful Son doing the things his Father was doing.
I often liken this to my own experience as a boy growing up on the farm. During school holidays my brothers and I invariably worked with our father. As we did so, we never entertained for a moment the thought of making our own plans as to what we would do: we either saw what our father was doing and joined him, or carried out his expressed wishes. There was no "going solo", doing what we thought best in the way that we thought best. As sons, we did what our father wanted in the way he wanted it done.
That seems to be what Jesus was saying. His life on earth was totally given up to doing his Father's will. And as he surrendered himself to that, the Father worked in and through him. In that way the kingdom or rule of God was actually present in Jesus. Through him, God was at work to bring about his rule in the earth.
Jesus here sets before us the pattern God intended for human existence. When God made us like himself, he meant that we should live our lives totally dependent upon him and dedicated to him. And as we lived in such a way, he would come and live in us and work through us.