Register

GATE2015-3-24

• recategorized by
208 views
0 0 votes

Let $\phi$ be an arbitrary smooth real valued scalar function and $\overrightarrow{V}$ be an arbitrary smooth vector valued function in a three-dimensional space. Which one of the following is an identity?

  1. Curl$(\phi \overrightarrow{V})$ = $\bigtriangledown$($\phi$ Div$\overrightarrow{V}$)
  2. Div$\overrightarrow{V}=0$
  3. Div Curl$\overrightarrow{V}=0$
  4. Div($(\phi \overrightarrow{V})$ ) = $\phi$ Div$\overrightarrow{V}$

Please log in or register to answer this question.

Related questions

0 0 votes
0 0 answers
290
290 views
Arjun asked Feb 24, 2017
290 views
GATE2015-3-41
The value of $\int_{C}^{ }[(3x-8y^2)dx+(4y-6xy)dy]$, (where $C$ is the boundary of the region bounded by $x$ = $0$, $y$ = $0$ and $x+y$ = $1$) is ________
0 0 votes
0 0 answers
445
445 views
Arjun asked Feb 24, 2017
445 views
GATE2015-3-16
The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________
0 0 votes
0 0 answers
220
220 views
Arjun asked Feb 24, 2017
220 views
GATE2016-3-53
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point i...
0 0 votes
0 0 answers
259
259 views
Arjun asked Feb 24, 2017
259 views
GATE2016-3-27
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________Here, $\overline{F...
Voting & Accepting an answer helps improve the community

Related questions

0 0 votes
0 0 answers
290
290 views
Arjun asked Feb 24, 2017
290 views
GATE2015-3-41
The value of $\int_{C}^{ }[(3x-8y^2)dx+(4y-6xy)dy]$, (where $C$ is the boundary of the region bounded by $x$ = $0$, $y$ = $0$ and $x+y$ = $1$) is ________
0 0 votes
0 0 answers
445
445 views
Arjun asked Feb 24, 2017
445 views
GATE2015-3-16
The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________
0 0 votes
0 0 answers
220
220 views
Arjun asked Feb 24, 2017
220 views
GATE2016-3-53
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point i...
0 0 votes
0 0 answers
259
259 views
Arjun asked Feb 24, 2017
259 views
GATE2016-3-27
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________Here, $\overline{F...
← Previous · GATE2015-3-23Next → · GATE2015-3-25
← Previous in category · GATE2015-3-16Next in category → · GATE2015-3-41
Position:
Show:
Answer:

Add Synced Question

×