Physics · Vector Calculus
Which of the following vector identities is correct for a continuously differentiable vector field f̅?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1grad(f̅ · f̅) = f̅ × curl f̅
- 2curl div f̅ = 0
- 3grad curl f̅ = 0
- 4grad div f̅ = curl curl f̅ + ∇2f̅✓
Correct answer
grad div f̅ = curl curl f̅ + ∇2f̅
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