Mathematics · Vector Calculus

According to vector identities and integral theorems, ∫V a · ∇φ dV is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1∫S φa · nˆ dS + ∫V φ∇ · a dV
2∫S φa · nˆ dS - ∫V φ∇ · a dV✓
3∫V φa · nˆ dV + ∫S φ∇ · a dS
4∫V φa · nˆ dV - ∫S φ∇ · a dS

Correct answer

∫S φa · nˆ dS - ∫V φ∇ · a dV

Download Single Question PDF

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Share with Friends & Study Groups

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Preparing for Mathematics?

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Start Free Mock Test →

Chapter Practice

Want more practice questions on Vector Calculus?

Solve complete topic-wise tests with detailed solutions on GkGet.

Practice Vector Calculus MCQs →

Recommended practice questions in Mathematics · Vector Calculus

Browse More Mathematics →

Which Indian independence movement leader was primarily known for his philosophy and practice of non-violent civil disobedience?

Solve Question→

Who gave the call for 'Do or Die' during the Quit India Movement in 1942?

Solve Question→

Which of the following revolutionary pairs were imprisoned together in Cellular Jail and faced harsh conditions, contributing significantly to the Indian independence movement?

According to vector identities and integral theorems, ∫V a · ∇φ dV is equal to:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions

According to vector identities and integral theorems, ∫V a · ∇φ dV is equal to:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Related Practice Questions

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions