Plane Math Example 1
Follow the full solution, then compare it with the other examples linked below.
Example 1
easyWhat is the equation of the xy-plane in 3D space?
Solution
- 1 Step 1: The xy-plane contains all points where the z-coordinate is zero.
- 2 Step 2: In the general plane equation , we want z = 0 for all points on this plane.
- 3 Step 3: Set : the equation is .
Answer
The xy-plane is defined by all points โ it is the familiar 2D coordinate plane embedded in 3D space. Its normal vector is , pointing straight up.
About Plane
A perfectly flat surface extending infinitely in all directions with zero thickness; defined by three non-collinear points.
Learn more about Plane โ