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

question 45

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

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Definitions:

Price Objectives

The goals a company aims to achieve regarding the pricing of its products or services, which can include maximizing profitability, increasing market share, or deterring competition.

Analyze Price Competitors

The process of examining the pricing strategies of competitors in the market to understand their impact on sales and positioning.

Fixed Costs

Costs that do not change with the level of output or sales, such as rent, salaries, and insurance premiums.

Small

Referring to something of limited size, amount, or scale when compared to others of the same category.