The equation of obtuse bisetor plane of 3x-2y-6z+1=0 and 2x-3y+6z-2=0 is
5x-5y-1=0
x+y+12z+3=0
x-y+12z-3=0
5x+5y+1=0
As we have learned
Bisector of obtuse and acute angle between two planes -
Let the planes be
and
Where are positive
If , then the angle bisector with + sign is obtuse angle bisector and angle bisector with – sign is acute angle bisector.
If ,then the angle bisector with – sign is obtuse angle bisector and angle bisector with + sign is acute angle bisector.
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Planes can be written as 3x-2y-6z+1=0 and -2x+3y-6z+2=0, Now 3(-2)+(-2)3+(-6)(-6)=24>0
so obtuse bisector will be given by x+y-12z+3=0
Option 1)
5x-5y-1=0
Option 2)
x+y+12z+3=0
Option 3)
x-y+12z-3=0
Option 4)
5x+5y+1=0
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