Use the dot product to find the magnitude of u if 
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Definitions:
Scenario 1-5
A series of hypothetical or planned situations used for strategic planning, decision making, or analysis, labeled numerically for differentiation.
Working
Engaging in a physical or mental activity to achieve an objective, often to earn an income.
Opportunity Cost
The loss of potential gain from other alternatives when one particular option is chosen over others.
Graduate Program
An advanced academic course of study that follows a bachelor's degree, typically culminating in a master's or doctoral degree.
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