Mathematical PhysicsLinear Vector Space (GATE Physics): Questions 1  4 of 4
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Question number: 1
» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness
Appeared in Year: 2012
Question
Identify the correct statement for the vectors and
Choices
Choice (4)  Response  

a.  The vectors and linearly dependent 

b.  The vectors and are orthogonal 

c.  The vectors and are normalized 

d.  The vectors and are linearly independent 

Question number: 2
» Mathematical Physics » Linear Vector Space » Basis
Appeared in Year: 2013
Question
is equal to –
[Given and ]
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Mathematical Physics » Linear Vector Space » Basis
Appeared in Year: 2011
Question
The solutions to the differential equation are a family of
Choices
Choice (4)  Response  

a.  Circles with different radii 

b.  Circles with different centers 

c.  Straight lines with different slopes 

d.  Straight lines with different intercepts on the 

Question number: 4
» Mathematical Physics » Linear Vector Space » Basis
Appeared in Year: 2011
Question
Consider a cylinder of height and radius , closed at both ends, centered at the origin, Let be the position vector and a unit vector normal to the surface. The surface integral over the closed surface of the cylinder is
Choices
Choice (4)  Response  

a. 


b.  Zero 

c. 


d. 

