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Consider the following planes (a) 1:2xy+2z2=0 (b) 4:3x+y+7z=3 2:x2yz1=0 5:4x12y+4z=24 3:4x+2y4z+4=0 6:x+2y+3z=4 Find any possible solution(s) for each system and explain geometrically what situation the

Consider the following planes

(a)

1:2xy+2z2=0

(b)

4:3x+y+7z=3

2:x2yz1=0

5:4x12y+4z=24

3:4x+2y4z+4=0

6:x+2y+3z=4

Find any possible solution(s) for each system and explain geometrically what situation the planes are in. State any possible points and/or lines of intersection.

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