Mathematical Physics-Linear Vector Space (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 4 - 5 of 5

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Question number: 4

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2010

MCQ▾

Question

Given the recurrence relation for the Legendre polynomials Equation , which of the following integrals has a non – zero value?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 5

» Mathematical Physics » Linear Vector Space » Basis

Appeared in Year: 2007

MCQ▾

Question

Consider a vector Equation in the coordinate system Equation . The axes are rotated anti – clock wise about the Equation axis by an angle of Equation . The vector Equation in the rotate coordinate system Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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