They're connected to each other no less than the foot bone is connected to the ankle bone however many educators may wish or pontificate to the contrary. Without the fulness of dreams and hopes, teaching goes flat. But, dreams and hopes can take a lot of gas out of you, and passion is the emotional fuel you need to achieve your dreams. I don't know of one master who didn't pick up a chisel, paint brush, pen, baton, test tube, or whatever for the first time. They all were indebted to others and reached deadends before they evolved into themselves and we became indebted to them.
Passion is the stuff that perseverence is made of.
It is the deep pool within each of ourselves that when discovered and tapped provides the power, that drives us. Committment is no less important, for it gives direction and guidance and meaning and purpose to your passion. It is the stuff of values and vision. If you fail to commit to your craft and your discipline and most importantly to your fellow human beings, you commit to failure. More importantly, it is committment that gets you ready to pay the price.