Prove:A x (B x C) + B x (C x A)+ C x (A x B) = 0
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Normalize the following wavefunctions over the range indicated.
(a) Ψ = x , x = 0 to 1
(b) Ψ = x , x = 0 to 2
(c) Ψ = sin 2x , x = 0 to π
(d) Ψ = sin 2x , x = 0 to 2π
(e) Ψ = sin^(2/3)x , x = 0 to 2π
7.8.11a, b, 14 a, bSketch several periods of the following functions and expand themin both sine-cosine and complex forms of the Fourier Series.(a) f(x)=x2, -p<x<p (b) f(x)=x2, 0<x<2p(c) f(x)=sinpx, -1 <x<1 22(d) f(x)=sinpx, 0<x<1
Q1.22 Which of the following are legitimate mathematical operations: (a) A. (B-C); (b) (A - B) x 0; (c) A. (B x T); (d) AX (BXC); (e) AX ( B C)? In each case, give the reason for your answer.