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Find the Curl for the Vector Field at the Given

Question 40

Multiple Choice

Find the curl for the vector field at the given point. F(x,y,z) =7xyzi^+7yj^+7zk^,(7,8,7) \overrightarrow { \mathbf { F } } ( x , y , z ) = 7 x y z \hat { \mathbf { i } } + 7 y \hat { \mathbf { j } } + 7 z \hat { \mathbf { k } } , \quad ( 7,8,7 )


A) 42i^+343j^42 \hat { \mathbf { i } } + 343 \hat { \mathbf { j } }
B) 392i^+343k^392 \hat { \mathbf { i } } + 343 \hat { \mathbf { k } }
C) 392j^343k^392 \hat { \mathbf { j } } - 343 \hat { \mathbf { k } }
D) 56i^+343k^56 \hat { \mathbf { i } } + 343 \hat { \mathbf { k } }
E) 294i^+343j^294 \hat { \mathbf { i } } + 343 \hat { \mathbf { j } }

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