Equation of plane passing through points (0,0,0), (1,-1,1) and (2,2,-2)
x+y+z=0
y-z=0
y+z=0
x+y=0
As we have learned
Plane passing through three points (cartesian form) -
Let the plane passes through
then the plane is given by
- wherein
Equation of plane passing through (0,0,0) is
ax + by + cz = 0
Here ,
(1,-1,1) and (2,2,-2)
satisfy it
a-b +c = 0 and 2a + 2b - 2c = 0
a-b +c = 0 and a + b - c = 0
a = 0 , b = 0
plane is
y + z = 0