The gravitational field in a region is given by\[\vec{g} =5N/kg\hat{i}+12N/kg\hat{j}\]. The change in the gravitational potential energy of a particle of mass 1 kg when it is taken from the origin to a point \[(7m,-3m)\] is:

• A. \[71\text{ }J\]
• B. \[13\sqrt{58}J\]
• C. \[-71\text{ }J\]
• D. \[1\text{ }J\]