GATE MT 2021 Q3. The divergence of a vector field ⃗𝑽 (𝒙, 𝒚, 𝒛), where its three components (𝑽𝒙 , 𝑽𝒚, 𝑽𝒛) are functions of x,y,z, is:

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Asked: March 6, 20212021-03-06T01:20:00+05:30 2021-03-06T01:20:00+05:30In: Aptitude

64.71%(A) 𝜕𝑉𝑥/ 𝜕𝑥 + 𝜕𝑉𝑦/𝜕𝑦 +𝜕𝑉𝑧/ 𝜕𝑧 ( 11 voters )

5.88%(B) (𝜕𝑉𝑧/𝜕𝑦- 𝜕𝑉𝑦/𝜕𝑧)i + (𝜕𝑉𝑥/𝜕𝑧- 𝜕𝑉𝑧/𝜕𝑥)j + (𝜕𝑉𝑦/𝜕𝑥 -𝜕𝑉𝑥 /𝜕𝑦)k ( 1 voter )

29.41%(C) 𝜕𝑉𝑥/𝜕𝑥i + 𝜕𝑉𝑦/𝜕𝑦j 𝜕𝑉𝑧/ 𝜕𝑧k ( 5 voters )

0%(D) 𝜕2𝑉𝑥/𝜕𝑥2 + 𝜕2𝑉𝑦 /𝜕𝑦2 +𝜕2𝑉𝑧 /𝜕𝑧2

Based On 17 Votes

GATE MT 2021 Q3. The divergence of a vector field ⃗𝑽 (𝒙, 𝒚, 𝒛), where its three components (𝑽𝒙 , 𝑽𝒚, 𝑽𝒛) are functions of x,y,z, is:

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Equbal · Answer 1 · 2021-04-22T11:32:12+05:30

Equbal Copper Student

Answer:- Option A The image of the solution to the above question is attached below:-

Answer:- Option A

The image of the solution to the above question is attached below:-

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