Question:
Given that \( A^\alpha \) and \( B_\beta \) (\(\alpha, \beta = 1, 2, 3, \ldots, n\)) are contravariant and covariant vectors, respectively, and by convention, any repeated indices are summed over. Which of the following expressions is/are tensors?
Given that \( A^\alpha \) and \( B_\beta \) (\(\alpha, \beta = 1, 2, 3, \ldots, n\)) are contravariant and covariant vectors, respectively, and by convention, any repeated indices are summed over. Which of the following expressions is/are tensors?
Updated On: Feb 3, 2025
- \( A^\alpha B_\beta \)
- \( \frac{A^\alpha B_\beta}{A^\alpha B_\alpha} \)
- \( \frac{A^\alpha}{B_\beta} \)
- \( A^\alpha + B_\beta \)
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The Correct Option is A, B
Solution and Explanation
The correct Answers are (A):\( A^\alpha B_\beta \),(B):\( \frac{A^\alpha B_\beta}{A^\alpha B_\alpha} \)
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