Agricultural Engineering > GATE 2021 > Vector Calculus
Let the vector v = vi + vj + vak be a differentiable vector function of Cartesian coordinates x, y and z. The curl of the vector v is given by curl v =
A
i (∂v₂/∂z - ∂v₃/∂y) + j (∂v₃/∂x - ∂v₁/∂z) + k (∂v₁/∂y - ∂v₂/∂x)
B
i (∂v₃/∂y - ∂v₂/∂z) + j (∂v₁/∂z - ∂v₃/∂x) + k (∂v₂/∂x - ∂v₁/∂y)
C
i (∂v₃/∂y - ∂v₁/∂z) + j (∂v₁/∂x - ∂v₂/∂y) + k (∂v₂/∂z - ∂v₃/∂x)
D
i (∂v₂/∂y - ∂v₁/∂z) + j (∂v₃/∂x - ∂v₂/∂y) + k (∂v₁/∂z - ∂v₃/∂x)

Correct : c

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