You are watching: Three planes that intersect in one line

**How to find the relationship between two planes.**

Given 3 planes:

** case 2.1. Each plane Cuts the various other Two in a line **r=2 and also r"=3

The 3 planes form a prismatic surface

**Case 2.2. Two Parallel Planes and also The various other Cuts each in a heat **r=2 and r"=3 2 rows the the coefficient matrix room proportional:

**Case 3.1. 3 Planes Intersecting in a line **r=2 and r"=2

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**Case 3.2. 2 Coincident Planes and also the various other Intersecting them in a Line** r=2 and r"=2 2 rows of the augmented matrix room proportional:

**Case 4.1. Three Parallel Planes** r=1 and also r"=2

**Case 4.2. Two Coincident Planes and also the other Parallel** r=1 and also r"=2 2 rows that the augmented matrix room proportional:

**Case 5. Three Coincident Planes** r=1 and also r"=1

State the relationship in between the three planes:

: -2x+6y+z=-6 , : -x-y+z=9 and : x+2y=-2 are: Intersecting in ~ a point Each plane Cuts the other Two in a heat three Planes Intersecting in a line three Parallel plane two Coincident Planes and the other Parallel three Coincident plane* *