The Torsion of a Curve Defined By $\mathbf { r } ( t )$

question 10

Multiple Choice

The torsion of a curve defined by $\mathbf { r } ( t )$ is given by
$$\tau = \frac { \left( \mathbf { r } ^ { t } \times \mathbf { r } ^ { tt } \right) \cdot \mathbf { r } ^ {t} } { \left| \mathbf { r } ^ { t } \times \mathbf { r } ^ { t } \right| ^ { 2 } }$$
Find the torsion of the curve defined by $\mathbf { r } ( t ) = \cos 2 t \mathbf { i } + \sin 2 t \mathbf { j } + 5 t \mathbf { k }$ .

• A) \(\frac { 27 } { 29 }\)
• B) \(\frac { 10 } { 29 }\)
• C) \(\frac { 50 } { 29 }\)
• D) \(\frac { 7 } { 29 }\)

---

Definitions:

Implementing ERP

The process of adopting and integrating Enterprise Resource Planning software into a company's operations to streamline processes and improve efficiency.

Human Resource Planning

The process through which companies ensure they have the right number and kind of people, in the right places, at the right times, capable of effectively and efficiently completing tasks that help the organization achieve its overall strategic objectives.

Big Data

Vast datasets that, when analyzed with computational tools, can disclose various patterns, trends, and links, mainly concerning human behavior and interactions.

Five Pillars

A term often used in various contexts to describe the fundamental principles or components upon which a system, theory, or organization is built or stands.