Use the Barycentric Coordinates with Respect to S to Determine $$\mathrm { S } = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } , \mathbf { v } _ { 4 } , \right\}$$

question 6

Multiple Choice

Use the barycentric coordinates with respect to S to determine if the point p is inside, outside, on a face, or on the edge
of conv S which is a tetrahedron.
- $$\mathrm { S } = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } , \mathbf { v } _ { 4 } , \right\}$$
Barycentric coordinates: $\left( \frac { 1 } { 2 } , 0 , \frac { 1 } { 8 } , \frac { 3 } { 8 } \right)$

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

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Definitions:

Gestalt

A psychological theory that proposes organisms perceive entire patterns or configurations, not merely as individual components.

Structuralist

Structuralism is an approach in fields such as psychology which posits that elements of human culture must be understood in terms of their relationship to a larger, overarching system or structure.

Reductionist

A perspective or approach that simplifies complex phenomena by reducing them to their basic elements.

Unconscious Desires

Unconscious Desires are wishes, wants, or needs that an individual is not aware of but that influence behaviors and can be revealed through dreams, slip of the tongue, or psychoanalytical methods.