Inner Product Practice

Geometry Level 2

Consider two column vectors (a.k.a kets in quantum mechanics) α>=(3,i,2i)\left|\alpha \right> = (3, -i, \sqrt{2}-i) and β>=(2,i,2i)\left|\beta \right> = (2, i, \sqrt{2} - i).

Calculate <αβ>\left<\alpha|\beta\right>.

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