Provide an Appropriate Response $2 \mathbf { v } _ { 1 } + 2 \mathbf { v } _ { 2 } - 3 \mathbf { v } _ { 3 }$

question 51

Multiple Choice

Provide an appropriate response.
-Which of the following statements are true? I: $2 \mathbf { v } _ { 1 } + 2 \mathbf { v } _ { 2 } - 3 \mathbf { v } _ { 3 }$ is an affine combination of the 3 vectors.
II: The affine hull of two distinct points is a plane.
III: If $S = \{ x \}$ , then aff $S = \{ x \}$ .
IV: If a set of vectors in $\mathfrak { R } ^ { \mathrm { n } }$ is linearly independent, then every vector in $\mathfrak { R } ^ { \mathrm { n } }$ can be written as an affine combination of these vectors.

• A) II and IV
• B) I and II
• C) I and III
• D) I, III, and IV

---

Definitions:

LED Light Sources

Light-emitting diodes used as efficient and durable illumination devices in various applications.

Continuous Beam

A structural element that spans over more than two supports to provide greater stability and support for loads over a larger area.

Selector Switch

A switch that allows the user to choose between two or more positions or functions, often used in electronic or electrical devices.

Contacts

Contacts typically refer to electrically conductive components that open or close circuits in electrical devices, allowing or interrupting the flow of electricity.