Which of the following is not a point on the plane with Cartesian equation `3x+2y-2z-4=0`? a) P(2,0,1) b) Q(2,3,4) c) R(1,1,1) d) S(0,3,1)

Expert Answers

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In order to determine which point is not on the plane of the given equation , you must substitute the values given for each point. If the left side (L.S) is equal to the right side (R.S) then the point IS on the plane.

a) P(x,y,z) = P(2,0,1)



`= 6+0-2-4`


L.S `=` R.S `=0`

This point P(2,0,1) therefore, is on the plane.

However, now try c) R(1,1,1)





Here we see that L.S `!=` R.S

`:. ` The point that is not on the plane is R(1,1,1)



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