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mediumNATPYQs Based Test - 08 : Vector Identities and PropertiesGeneral
1 mark

The divergence of the vector field V = x² i + 2y³ j + z⁴ k at x = 1, y = 2, z = 3 is ________

Correct Answer

133.9-134.1

Solution & Step-by-step Explanation



Divergence

= 2x + 6y² + 4z³

At x= 1, y=2 and z=3

[Divergence (V)]= 2 × 1 + 6 × 2² + 4 × 3³ = 134

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The divergence of the vector field V = x² i + 2y³ j + z⁴ k at x = 1, y = 2, z = 3 is ________

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