Intersection of Three Planes
- Author:
- Kathryn Peake, Andreas Lindner
- Topic:
- Intersection, Planes
The following three equations define three planes:
Exercise
a) Vary the sliders for the coefficient of the equations and watch the consequences.
b) Adjust the sliders for the coefficients so that
- two planes are parallel, the third plane intersects the other two planes,
- three planes are parallel, but not coincident,
- all three planes form a cluster of planes intersecting in one common line (a sheaf),
- all three planes form a prism,
- the three planes intersect in a single point.
- the equations,
- the matrix form of the system of equations, determinant, inverse matrix (if it exists)
- the equations of any lines of intersection
- any observations you make
Andreas Lindner