Question: For each of the following vector fields, determine whether a vector potential exists. If so, find one.For this problem, enter your vectors with angle-bracket notation:

For each of the following vector fields, determine whether a vector potential exists. If so, find one.For this problem, enter your vectors with angle-bracket notation: , not in ijk-notation.(a) F=4xi+(6yz2)j+(x10z)kF? has a vector potential does not have a vector potential H, H= (If there is no potential function, enter none for the function.)(b) F=4xi+(6yz2)j+(x+10z)kF? has a vector potential does not have a vector potential H, H=(If there is no potential function, enter none for the function.)

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