Let $\vec { a } = a _ { 1 } \vec { i } + \alpha _ { 2 } \vec { i } + \alpha _ { 3 } \vec { i }$

question 40

Multiple Choice

Let $\vec { a } = a _ { 1 } \vec { i } + \alpha _ { 2 } \vec { i } + \alpha _ { 3 } \vec { i }$ be a constant vector and f(x, y, z) be a smooth function.Which statement is true?

• A)If \(\operatorname { div } f \vec { a }\) is a divergence free vector field then\(\nabla\)f is parallel to
• \(\vec { \alpha }\)
• B)If \(\operatorname { div } f \vec { a }\) is not a divergence free vector field then \(\nabla\)f is perpendicular to
• \(\vec { \alpha }\)
• C)If \(\operatorname { div } f \vec { a }\) is a divergence free vector field then \(\nabla\)f is perpendicular to
• \(\vec { \alpha }\)
• D)If \(\operatorname { div } f \vec { a }\) is not a divergence free vector field then \(\nabla\)f is parallel to
• \(\vec { \alpha }\)
• E)If \(\operatorname { div } f \vec { a }\) is a divergence free vector field then \(\nabla\)f is constant.

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Definitions:

Ethical Considerations

Factors relating to right and wrong, morality, and the principles that govern an individual's or group's behaviors.

Informed Consent

A process by which a fully informed individual voluntarily agrees to participate in a particular procedure, understanding all the risks, benefits, and alternatives.

Sexuality

The capacity for sexual feelings, a fundamental aspect of human nature encompassing sexual orientation, attractions, and behaviors.

Representative Sample

A subset of a population that accurately reflects the members of the entire population, used in statistical analysis to generalize findings.