GATE ME 1996 | Vector Calculus Question 28 | Engineering Mathematics

GATE ME 1996

MCQ (Single Correct Answer)

-0.3

The expression curl $$\left( {grad\,f} \right)$$ where $$f$$ is a scalar function is

Equal to $${\nabla ^2}f$$

Equal to $$div\left( {grad\,f} \right)$$

A scalar of zero magnitude

A vector of zero magnitude

GATE ME 1995

MCQ (Single Correct Answer)

-0.3

If $$\overrightarrow V $$ is a differentiable vector function and $$f$$ is sufficienty differentiable scalar function then curl $$\left( {f\overrightarrow V } \right) = $$ _______.

$$\left( {grad\,f} \right) \times \overrightarrow V + \left( {f\,curl\,\overrightarrow V } \right)$$

$$\overrightarrow O $$

$${f\,curl\,\overrightarrow V }$$

$$\left( {grad\,f} \right) \times \overrightarrow V $$

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