Find a Point on the Surface $x y z = 8$

question 35

Multiple Choice

Find a point on the surface $x y z = 8$ such that the normal vector at the point is parallel to the vector $\{ 4,2,1 \}$ .

• A) \(( 1,2 , - 4 )\)
• B) \(( - 1 , - 2,4 )\)
• C) \(( 1 , - 2 , - 4 )\)
• D)
• \(( - 1 , - 2 , - 4 )\)
• E) \(( - 1,2,4 )\)
• F)
• \(( - 1,2 , - 4 )\)
• G) \(( 1 , - 2 , - 4 )\)
• H) \(( 1,2,4 )\)

---

Definitions:

Psychophysiological Disorders

Physical illnesses that are thought to be caused or exacerbated by mental factors such as stress and anxiety.

Social Conditions

Refers to the societal factors and circumstances that influence individuals' lifestyles, behaviors, and attitudes.

Poverty

A state of economic deprivation, lacking sufficient income to meet basic needs such as food, shelter, and clothing.

Hypersomnolence Disorder

A sleep-wake disorder characterized by an extreme need for extra sleep and feelings of excessive sleepiness.