Vector Calculus - General Aptitude - General Aptitude (GA) Previous Year Questions

A

\((4yz^2 + 2xy^2)\hat{i} + 2x^2 z \hat{j} - 2y^2 z \hat{k}\)

B

\((4yz^2 + 2xy^2)\hat{i} + 2x^2 z \hat{j} - 2y^2 z \hat{k}\)

C

\(2xz^2 \hat{i} - 4xyz \hat{j} + 6y^2 z^2 \hat{k}\)

D

\(2xz^2 \hat{i} + 4xyz \hat{j} + 6y^2 z^2 \hat{k}\)

A

\(\text{Curl}(\phi\vec{V}) = \nabla(\phi \; \text{Div}\vec{V})\)

B

\(\text{Div}\vec{V} = 0\)

C

\(\text{Div} \; \text{Curl}\vec{V} = 0\)

D

\(\text{Div}(\phi\vec{V}) = \phi \; \text{Div}\vec{V}\)

A

√2

B

2

C

2√2

D

4√2