Plane Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyHow many dimensions does a plane have, and how many coordinates are needed to specify a point on a plane?
Solution
- 1 Step 1: A plane is a flat, 2D surface — it has 2 independent directions.
- 2 Step 2: To specify any point on a plane, you need 2 coordinates (like and ).
Answer
A plane has 2 dimensions; 2 coordinates specify a point on it.
Even though a plane in 3D space is described by an equation involving 3 variables, the plane itself is a 2-dimensional object. You can move in two independent directions within it, so two coordinates (with one constraint from the plane equation) are sufficient.
About Plane
A perfectly flat surface extending infinitely in all directions with zero thickness; defined by three non-collinear points.
Learn more about Plane →