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Show thast the points P(1,1,1),Q(0,-1,0)...

Show thast the points `P(1,1,1),Q(0,-1,0),R(2,1,-1) and S(3,3,0)` are coplanar.

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(a) show that the following four points are coplanar : (i) (4,5,1), (0,-1,-1) ,(3,9,4) and (-4,4,4) (ii) (0,-1,0), (2 , 1 , -1) , (1,1,1) and (3,3,0). (b) Show that the four points : (0,-1,-1), (4,5,1), (3,9,4) and (-4,4,4) are coplanar. Also,find the equation of the plane containing them .