Practice Plane in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A perfectly flat surface extending infinitely in all directions with zero thickness; defined by three non-collinear points.
An infinite sheet of paper with absolutely no thickness, extending forever in every direction.
Example 1
easyWhat is the equation of the xy-plane in 3D space?
Example 2
mediumThree points A(0,0,0), B(1,0,0), C(0,1,0) lie on a plane. Write the equation of that plane.
Example 3
easyHow many dimensions does a plane have, and how many coordinates are needed to specify a point on a plane?
Example 4
hardDoes the point (2, 3, -1) lie on the plane 2x - y + 3z = 4?