Which of the following statements, if any, are false? I., where the inner product is for the space. II. is an orthonormal set of functions in. III. is an orthogonal set of functions in.

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Which of the following statements, if any, are false?<br/> I.<br><img src='https://www.fatskills.com/images2/GradExams/08D32E23-9E92-4D0D-9EF1-CCB1A2DD475B.png' height='25' width='205'/>, where the inner product is for the space<br><img src='https://www.fatskills.com/images2/GradExams/AA5336FF-6606-4D28-A1E3-5D3B3FB0FA8D.png' height='22' width='63'/>.<br/> II.<br><img src='https://www.fatskills.com/images2/GradExams/47341CF4-43AF-4FAD-AF54-09A1E00C00D3.png' height='25' width='224'/> is an orthonormal set of functions in<br><img src='https://www.fatskills.com/images2/GradExams/AA5336FF-6606-4D28-A1E3-5D3B3FB0FA8D.png' height='22' width='63'/>.<br/> III.<br><img src='https://www.fatskills.com/images2/GradExams/A71CE323-8FA8-4808-9B21-F22EDD283E69.png' height='36' width='270'/> is an orthogonal set of functions in<br><img src='https://www.fatskills.com/images2/GradExams/AA5336FF-6606-4D28-A1E3-5D3B3FB0FA8D.png' height='22' width='63'/>.