Final answer:
In R³, the equation y = 5 represents a plane parallel to the x-z plane, positioned where the y-coordinate is consistently 5.
Step-by-step explanation:
The equation y = 5 in R³ (three-dimensional space) represents a plane that is parallel to the x-z plane.
This plane is located at the position where the y-coordinate is always 5, regardless of the values of the x and z coordinates.
An understanding of this concept is helpful in visualizing geometric objects in three dimensions and solving problems involving vectors and coordinates, such as those found in physics or engineering.