Each plane cuts the other two in a line Two Coincident Planes and the other Intersecting castle in a Line


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

*




See more: 3.5 Elusive Target Feat - Elusive Redirection (Combat)

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