Given $\operatorname { curl } { \vec { F } } = 10 x y z \vec { i } + \left( a y ^ { 2 } z + 2 b y z \right) \vec { j } - 4 z ^ { 2 } \vec { k }$

question 12

Essay

Given $\operatorname { curl } { \vec { F } } = 10 x y z \vec { i } + \left( a y ^ { 2 } z + 2 b y z \right) \vec { j } - 4 z ^ { 2 } \vec { k }$ , find the values of the constants a and b, without knowing the expression of $\vec { F }$ .

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