Civil Engineering > GATE 2025 SET-2 > Vector Calculus
Consider a velocity vector, &vec;V in (x, y, z) coordinates given below. Pick one or more CORRECT statements(s) from the choices given below.
&vec;V=u&vec;x+v&vec;y
A
z-component of Curl of velocity; ∇×&vec;V=(&partial;v/&partial;x-&partial;u/&partial;y)&vec;z
B
z-component of Curl of velocity; ∇×&vec;V=(&partial;u/&partial;x-&partial;v/&partial;y)&vec;z
C
Divergence of velocity; ∇⋅&vec;V=(&partial;u/&partial;x+&partial;v/&partial;y)
D
Divergence of velocity; ∇⋅&vec;V=(&partial;u/&partial;y+&partial;v/&partial;x)

Correct : a

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