Project ForgeEngineering Mathematics
Calculus
GATE 2009
Easy
The divergence of the vector field 3xz î + 2xy ĵ - yz² k̂ at a point (1,1,1) is equal to
- A7
- B4
- 3
- D0
Explanation
∇·V = ∂/∂x(3xz) + ∂/∂y(2xy) + ∂/∂z(-yz²) = 3z + 2x - 2yz. At (1,1,1): 3+2-2=3.
Source: GATE ME 2009 (2009)
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