Question

Let \(\overrightarrow V\) be a vector field and f be a scalar point function, then curl \((f\overrightarrow V)\) is equivalent to________.

• A. \((grad f) \cdot\overrightarrow V + fdiv(\overrightarrow V)\)
• B. \((grad f)\times\overrightarrow V + fcurl(\overrightarrow V)\)
• C. \((grad f)\cdot(div\overrightarrow V) + curl(curl\overrightarrow V)\)
• D. \(grad [div\overrightarrow V] - fcurl(\overrightarrow V)\)

Answer 1

The Correct Option is B

The correct answer is(B): \((grad f)\times\overrightarrow V + fcurl(\overrightarrow V)\)