Project ForgeEngineering Mathematics
Calculus
GATE 2017
Medium
For the vector V = 2yz î + 3xz ĵ + 4xy k̂, the value of ∇·(∇×V) is __________.
0(± 0.5 accepted)
Explanation
The divergence of the curl of any sufficiently smooth vector field is identically zero: ∇·(∇×V) = 0. This is a standard vector calculus identity, so no computation of the actual curl is needed.
Source: GATE ME 2017 Session 1 (ME-1) (2017)
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