Describe the set of points (x, y, z) defined by the equation.
-z = 0
A) All points of the form (x, 0, 0)
B) All points of the form (0, y, 0)
C) All points of the form (x, y, 0)
D) Only the point (0, 0, 0)

Question

Quizplus · Accepted Answer

The equation z = 0 defines a plane in three-dimensional space where the z-coordinate of every point on the plane is 0. This means that any value of x and y is allowed as long as z is 0, which is correctly described by option C, all points of the form (x, y, 0).

Describe the Set of Points (X, Y, Z) Defined by the Equation