Question:
Let \(\overrightarrow V\) be a vector field and f be a scalar point function, then curl \((f\overrightarrow V)\) is equivalent to________.
Let \(\overrightarrow V\) be a vector field and f be a scalar point function, then curl \((f\overrightarrow V)\) is equivalent to________.
Updated On: Mar 21, 2024
- \((grad f) \cdot\overrightarrow V + fdiv(\overrightarrow V)\)
- \((grad f)\times\overrightarrow V + fcurl(\overrightarrow V)\)
- \((grad f)\cdot(div\overrightarrow V) + curl(curl\overrightarrow V)\)
- \(grad [div\overrightarrow V] - fcurl(\overrightarrow V)\)
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The Correct Option is B
Solution and Explanation
The correct answer is(B): \((grad f)\times\overrightarrow V + fcurl(\overrightarrow V)\)
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