Find the Barycentric Coordinates of P with Respect to the Affinely

question 27

Multiple Choice

Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
-Which of the following statements are true for the set $S = \left\{ \mathbf { v } _ { 1 } , \ldots , \mathbf { v } _ { \mathrm { k } } \right\}$ in $\mathfrak { R } \mathrm { n } ^ { \text {? } }$
I: If $S$ is affinely independent, then a point $p$ in $R ^ { n }$ cannot have any barycentric coordinates determined by $\mathrm { S }$ that are equal to 0 .
II: If $S$ is affinely independent, then a point $p$ in aff $S$ has a unique representation as an affine combination of $\mathbf { v } _ { 1 } , \ldots , \mathbf { v } _ { \mathrm { k } }$ .

• A) II
• B) Both I and II
• C) I
• D) Neither I or II

---

Definitions:

African Americans

African Americans are a racial or ethnic group in the United States with origins in the black racial groups of Africa, including those who have lived through the slavery era, the Civil Rights Movement, and continue to navigate societal challenges.

Commissions

Bodies established by governments or other organizations to undertake specific tasks or investigate particular issues; also refers to the earnings of salespeople based on sales achieved.

U.S. Army

The principal land warfare branch of the United States Armed Forces.

Deserted

Deserted refers to a place or thing that has been abandoned or left empty and devoid of human presence or activity.