You are watching: Three planes that intersect in one line

**How to discover the relationship in between two planes.**

Given 3 planes:

** case 2.1. Each airplane Cuts the other Two in a heat **r=2 and r"=3

The 3 planes kind a prismatic surface

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

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

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

**Case 4.1. 3 Parallel Planes** r=1 and r"=2

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

**Case 5. 3 Coincident Planes** r=1 and r"=1

State the relationship in between the 3 planes:

: -2x+8y+4z=2 , : 2x-8y-4z=-10 and : 10x-40y-20z=-2 are: Intersecting at a point Each plane Cuts the various other Two in a heat 3 Planes Intersecting in a heat 3 Parallel plane two Coincident Planes and the other Parallel 3 Coincident plane* *