Multiple choice

Directions: Carry One Mark Each.

Let $\phi$ be an arbitrary smooth real valued scalar function and $\bar{V}$ be an arbitrary smooth vector valued function in a three-dimensional space. Which of the following is an identity?

  1. Curl ($\phi \bar{V}$) = $\nabla$ ($\phi Div\bar{V}$)
  2. Div $\bar{V}$ = 0
  3. Div Curl $\bar{V}$ = 0
  4. Div ($\phi \bar{V}$) = $\phi$ Div $\bar{V}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Correct Answer: Div Curl $\bar{V}$ = 0

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