Prove that the vector V(x, y,z)= 3y*z°i+ 4x'z*j+3x*y°(-k) is solenoidal. 4.1 k 4.2 Show that the vector field V(x, y,z)= ~-ø is irrotational using Vx V in cylindrical coordinates.
Prove that the vector V(x, y,z)= 3y*z°i+ 4x'z*j+3x*y°(-k) is solenoidal. 4.1 k 4.2 Show that the vector field V(x, y,z)= ~-ø is irrotational using Vx V in cylindrical coordinates.
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![Prove that the vector V(x y .z)= 3y*z*i+ 4x°z²j+3x*y°(-k) is solenoidal.
k
4.2 Show that the vector field V(x, y,z)= o is irrotational using Vx V in cylindrical coordinates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d23c93b-870e-4ad1-8eae-60e3d2381ea8%2F40e4592e-222d-477c-97ad-cb396d8e58c5%2Fcttw4c4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the vector V(x y .z)= 3y*z*i+ 4x°z²j+3x*y°(-k) is solenoidal.
k
4.2 Show that the vector field V(x, y,z)= o is irrotational using Vx V in cylindrical coordinates.
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