MTH_HL VEC EXP07 Intersection of 3 planes
- Author:
- benpreston
- Topic:
- Intersection, Planes, Vectors
Students:
The attached geogebra rendering shows the intersection of 3 planes with cartesian equations a_i*x + b_i*y + c_i*z = d_i for i = 1, 2, 3.
Explore different values for the coefficients and investigate:
1. Under what conditions is the intersection of 3 planes a point, a line, a plane, the empty set?
2. How many different cases can you identify?
3. How can you use the coefficients of the Cartesian equations of the planes to identify each case?