Find the Barycentric Coordinates of P with Respect to the Affinely

question 44

Multiple Choice

Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
-Consider the affinely independent set $S = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}$ in $R ^ { 2 }$ . These points form a triangular region. If the barycentric coordinates of a point $\mathbf { p }$ are all positive $( + , + , + )$ , then where is $\mathbf { p }$ with respect to the triangle?

• A) Outside
• B) Vertex
• C) Edge
• D) Inside

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Definitions:

Normal Goods

Goods for which demand increases as the income of the buyer increases, and vice versa.

Price Rises

An increase in the cost of goods or services, often due to factors like inflation, supply and demand imbalances, or production costs.

Income Effects

Changes in consumers' purchasing patterns resulting from a change in their income, influencing how they allocate their spending across different goods and services.

Substitution Effects

The change in the consumption pattern of goods due to a change in their relative price, leading consumers to substitute one good for another.