Provide an Appropriate Response $\left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}$

Multiple Choice

Provide an appropriate response.
-Suppose $\left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}$ is a basis for $R ^ { 3 }$ . Which of the following statements are true?
I: Span $\left\{ \mathbf { v } _ { 2 } - \mathbf { v } _ { 1 } , \mathbf { v } _ { 3 } - \mathbf { v } _ { 1 } \right\}$ is a plane in $\mathscr { R } ^ { 3 }$ .
II: Aff $\left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}$ is the plane through $\mathbf { v } _ { 1 } , \mathbf { v } _ { 2 }$ , and $\mathbf { v } _ { 3 }$ .

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