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The difference between a project mission, vision, goals, and objectives are defined as follows:
A project mission is a statement of what an organization intends to do at the present moment which is unlike a vision statement. A vision statement is the vision an organization has for the future of what they would like to accomplish. The key word here is future. Often a vision statement can be confused with a goal when you think in terms of long term vision and trying to obtain something. Goals on the other hand are the necessary things or steps that will need to be accomplished in order to reach that future vision. Those steps can be defined as objectives which are measurable milestones that have been met or unmet during the process of trying to reach that future vision.
In actuality each of these go hand and hand can technically one cannot exist without the other. Although slightly different they each have the same outcome in mind and that is to achieve something better.