2. (McQuarrie C-7) Show that the following set of vectors is orthonormal: V= 1 13 13 ,0, V2 (.) 3 1) 73 73 73 G =GO V3 =
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- 2 Mcquarrie C 7 Show That The Following Set Of Vectors Is Orthonormal V 1 13 13 0 V2 3 1 73 73 73 G Go V3 1 (47.72 KiB) Viewed 28 times
2. (McQuarrie C-7) Show that the following set of vectors is orthonormal: V= 1 13 13 ,0, V2 (.) 3 1) 73 73 73 G =GO V3 = 0, 73 73 V4= 0, 13) V3 Hint: This requires computing 10 unique dot products. 3. (McQuarrie 4-22) Show that the following functions are orthonormal over the interval -00 < I< .0. These functions are the lowest cigenfunctions of the harmonic oscillator problem, which we will study in Chapter 5.) 1/4 Vo(2) = 12/2 c TT () (11) 01:1) = 22/2 Ie T 1/4 02:0) = (6) (2:22 - 1)e 22/2 47 Hint: See the Table of Integrals handout for tips on integrating these even and odd functions.