Consider with coordinates. Let, and let denote the volume form on. Which of the following statements is correct?

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Consider<br><img src='https://www.fatskills.com/images2/GradExams/08EEA4BE-8D87-4D7F-BE26-8BF5711BE75C.png' height='17' width='29'/> with coordinates<br><img src='https://www.fatskills.com/images2/GradExams/693B0896-3445-4EFA-B237-DAB76B021B7E.png' height='20' width='206'/>. Let<br><img src='https://www.fatskills.com/images2/GradExams/F2C7E243-AD77-4050-8FF0-A79735FBBBBF.png' height='21' width='139'/>, and let<br><img src='https://www.fatskills.com/images2/GradExams/93FF0EF1-9EEE-45A7-A907-6B171C4BDCFA.png' height='18' width='243'/> denote the volume form on<br><img src='https://www.fatskills.com/images2/GradExams/08EEA4BE-8D87-4D7F-BE26-8BF5711BE75C.png' height='17' width='29'/>. Which of the following statements is correct?