Question: buppose we replace plane x2 wun another plane, 7'5 , mat 1s net parauei to either 01 me omer two planes. ine planes 311,1[5 ,

buppose we replace plane x2 wun another plane, 7'5 , mat 1s net parauei to either 01 me omer two planes. ine planes 311,1[5 , and 1:4 intersect in pairs, forming three parallel lines. The side View shows the planes as lines forming a triangle. Again, the normal vectors lie at on the page and are coplanar. its [a The normal vector of one plane is a of the other 2 normals, but the equations don't follow the same linear combinations. The three normals are still coplanar. : 1:1: 3x2y+zl=0 n1=[3,2,1] ie: x41x+3y22+7=0 ;4=[1,3,2] 35:15x+y22+15=0 n5=[15,1,2] In all three types, each system of equations has because there is no point on all three planes. It is impossible for the coordinates of a point to satisfy all three equations. We say that each system of equations is

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