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

---

Definitions:

Selectively Bred

A process by which humans deliberately choose the breeding partners for a species based on desired traits, leading to genetic modifications over generations.

Behavior Genetics

The study of the role genetic factors play in shaping behaviors, personality, and psychological traits.

Genetic

Relating to genes and heredity, including the transmission of characteristics from parents to offspring.

Environmental Influences

The impact of external factors such as culture, climate, and social interactions on an individual's development and behavior.