Let $\mathbf { F } ( x , y , z ) = y ^ { 2 } \mathbf { i } + x \mathbf { j }$

question 163

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = y ^ { 2 } \mathbf { i } + x \mathbf { j }$ . Find the value of the curl of F at the point (1,1,3) .

• A) i
• B)j
• C)\(\mathbf { k }\)
• D)\(\mathbf { i } + \mathbf { j } + \mathbf { k }\)
• E)\(- \mathbf { i }\)
• F)\(- j\)
• G)\(- \mathbf { k }\)
• H)\(- \mathbf { i } - \mathbf { j } - \mathbf { k }\)

---

Definitions:

Schizophrenia

A persistent mental health condition marked by altered thinking, emotions, language, self-awareness, and behavior.

Glutamate

A major neurotransmitter in the brain that plays key roles in memory, learning, and the regulation of the synaptic transmission.

Odd/Eccentric Cluster

A categorization in personality psychology referring to individuals with behaviors that are peculiar or unusual, often relating to disorders like schizophrenia.

Personality Disorder

A type of mental disorder characterized by enduring maladaptive patterns of behavior, cognition, and inner experience, exhibited across many contexts and deviating from those accepted by the individual's culture.