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

Answer: (B)

$(grad f)\times\overrightarrow V + fcurl(\overrightarrow V)$

Answer 2

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