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Many vector fields - such as the gravitational field - have a remarkable property called being a conservative vector field which means that line integrals over that field are path independent. That is, if you want to compute a line integral (physically interpreted as work) the ONLY thing that matters is the endpoints, not what happens along the field. Cool! In this video we define the basic idea, and compute out an example modelling gravity that shows this is a conservative vector field.
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