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Given curlF=10xyzi+(ay2z+2byz)j4z2k\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

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Given curlF=10xyzi+(ay2z+2byz)j4z2k\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 F\vec { F } .

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