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

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:

66.67%(A) 𝜕𝑉𝑥/ 𝜕𝑥 + 𝜕𝑉𝑦/𝜕𝑦 +𝜕𝑉𝑧/ 𝜕𝑧 ( 6 voters )

11.11%(B) (𝜕𝑉𝑧/𝜕𝑦- 𝜕𝑉𝑦/𝜕𝑧)i + (𝜕𝑉𝑥/𝜕𝑧- 𝜕𝑉𝑧/𝜕𝑥)j + (𝜕𝑉𝑦/𝜕𝑥 -𝜕𝑉𝑥 /𝜕𝑦)k ( 1 voter )

22.22%(C) 𝜕𝑉𝑥/𝜕𝑥i + 𝜕𝑉𝑦/𝜕𝑦j 𝜕𝑉𝑧/ 𝜕𝑧k ( 2 voters )

0%(D) 𝜕2𝑉𝑥/𝜕𝑥2 + 𝜕2𝑉𝑦 /𝜕𝑦2 +𝜕2𝑉𝑧 /𝜕𝑧2

Based On 9 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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