Find scalar equations of the form for the following plane in :
The plane through the points:
The perpendicular vector
Then I just picked point to substitute into the equation:
Multiplying it out:
And that should be the equation of the plane?
As Opalq said, it is easy to check it yourself.
Do P: (0, 1, 1), Q: (1, 0, 1), and R: (1, 1, 0) all satisfy x+ y+ z= 2? If yes, that is the equation of the plane containing those three points and if not, it is not.
(In fact, you could have found the equation just by noting that the three components of each of those points sums to 2.)