Mathematical Physics-Linear Vector Space (GATE Physics): Questions 1 - 3 of 5

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Question number: 1

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2012

MCQ▾

Question

Identify the correct statement for the vectors Equation and Equation

Choices

Choice (4) Response

a.

The vectors Equation and Equation linearly dependent

b.

The vectors Equation and Equation are orthogonal

c.

The vectors Equation and Equation are normalized

d.

The vectors Equation and Equation are linearly independent

Question number: 2

» Mathematical Physics » Linear Vector Space » Basis

Appeared in Year: 2013

MCQ▾

Question

Equation is equal to –

[Given Equation and Equation ]

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Mathematical Physics » Linear Vector Space » Basis

Appeared in Year: 2011

MCQ▾

Question

Consider a cylinder of height Equation and radius Equation , closed at both ends, centered at the origin, Let Equation be the position vector and Equation a unit vector normal to the surface. The surface integral Equation over the closed surface of the cylinder is

Ellipse c Ellipse c: Ellipse with foci A, B passing through CEllipse c_1 Ellipse c_1: Ellipse with foci A_1, B_1 passing through C_1Segment f Segment f: Segment [A, A_1] Segment g Segment g: Segment [B, B_1] Vector u Vector u: Vector [D, E] Vector u Vector u: Vector [D, E] Vector v Vector v: Vector [D, F] Vector v Vector v: Vector [D, F] Vector w Vector w: Vector [D, G] Vector w Vector w: Vector [D, G] Z text1 = “Z”Y text1_1 = “Y”X text1_2 = “X”O text1_3 = “O”

a Cylinder of Closed Ends

In figure a cylinder of height h and radius a, closed at both ends, centered at the origin.

Choices

Choice (4) Response

a.

Equation

b.

Zero

c.

Equation

d.

Equation

f Page
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