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Find the curl of the vector field:

$$\vec{F}(x,y,z)=\langle yz,3xz,-5xy\rangle $$

A

$\text{curl }\vec{F} = \langle z,4x,3y\rangle $

B

$\text{curl }\vec{F} = \langle -4x,-3y,z\rangle$

C

$\text{curl }\vec{F} = \langle -8x,6y,2z\rangle $

D

$\text{curl }\vec{F} = \langle -6y,-2z,8x\rangle $

E

$\text{curl }\vec{F} = \langle x,3y,-5z\rangle $

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