Find the curl F given that F x,y,z = 3x2i+2zj-xk
P=3x2, R=2z, Q=−x.P=3x^2,\;R=2z,\;Q=-x.P=3x2,R=2z,Q=−x.
curlF=(Ry−Qz)i+(Pz−Rx)j+(Qx−Py)k=curlF=(R_y-Q_z)i+(P_z-R_x)j+(Q_x-P_y)k=curlF=(Ry−Qz)i+(Pz−Rx)j+(Qx−Py)k=
=(0−0)i+(0−2)j+(−1−0)k=−2j−k.=(0-0)i+(0-2)j+(-1-0)k=-2j-k.=(0−0)i+(0−2)j+(−1−0)k=−2j−k.
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