The divergence of a vector field F = (x², y², z²) is:

A x + y + z

B 2x + 2y + 2z

C 6

D x² + y² + z²

✓ Correct Answer: Option B

div(F) = ∂(x²)/∂x + ∂(y²)/∂y + ∂(z²)/∂z = 2x + 2y + 2z.

💡 Why is B) the correct answer?

The correct answer to the question "The divergence of a vector field F = (x², y², z²) is:" is Option B: 2x + 2y + 2z.

The other options — A) x + y + z, C) 6, D) x² + y² + z² — are incorrect for this FE Exam Prep question. As explained above: div(F) = ∂(x²)/∂x + ∂(y²)/∂y + ∂(z²)/∂z = 2x + 2y + 2z.

📚 About This FE Exam Prep Practice Question

This 2-level FE Exam Prep question from the Mathematics topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free FE Exam Prep practice test or use flashcards for spaced repetition review.

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The divergence of a vector field F = (x², y², z²) is:

✓ Correct Answer: Option B

📚 About This FE Exam Prep Practice Question

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