Mathematics · Vector Calculus
Which of the following statements is FALSE for a twice-differentiable vector field F or scalar field F?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The curl of the curl of a vector field is always zero.✓
- 2The divergence of a vector field is always a scalar function.
- 3The gradient of a scalar field F points in the direction of maximum increase of F.
- 4The divergence of the curl of a vector function is always zero.
Correct answer
The curl of the curl of a vector field is always zero.
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