Find the Domain R^3

Problem

ℝ3

Solution

1. Identify the mathematical notation ℝ3 This represents the three-dimensional Cartesian coordinate system.

2. Define the set as the collection of all ordered triples (x,y,z) where each component is a real number.

3. Express the domain in set-builder notation to show that there are no restrictions on the values of x y or z

4. Conclude that the domain consists of all points in three-dimensional space.

Final Answer

Domain(ℝ3)={[(x,y,z),x,y,z∈ℝ]}

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