Find the Length of the Curve $\mathbf { r } ( t ) = - 2 t \mathbf { i } - t \mathbf { j } + t \mathbf { k } , - 2 \leq t \leq 1$

question 125

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = - 2 t \mathbf { i } - t \mathbf { j } + t \mathbf { k } , - 2 \leq t \leq 1$ .

• A) \(3 \sqrt { 6 }\)
• B) \(\sqrt { 6 }\)
• C) \(2 \sqrt { 6 }\)
• D) \(6 \sqrt { 6 }\)

---

Definitions:

Egoistic Suicide

Occurs when the person is inadequately integrated into society.

Anomic

A state or condition of individuals or society characterized by a breakdown or absence of social norms and values, often leading to alienation and disorientation.

Adolescent Suicide

The act of self-inflicted death by individuals in their teenage years, often resulting from a variety of psychological, social, and environmental pressures or disorders.

Contemporary Times

The current or most recent period, characterized by modern or present-day conditions, technology, and society.