IB Mathematics Analysis and Approaches Question Type 4: Given Three Points on the Plane, Find the Cartesian Equation of the Plane These Points Lie on Exercises

Find the Cartesian form of the plane through $P(2,1,0)$, $Q(3,4,5)$ and $R(1,-1,2)$.

Determine the equation of the plane through $(0,0,1)$, $(1,1,0)$ and $(2,3,4)$.

Find the Cartesian equation of the plane passing through the points $A(3,-1,4)$, $B(5,2,0)$ and $C(-2,4,3)$.

Find the Cartesian equation of the plane passing through the points $A(1,1,1)$, $B(2,0,3)$, and $C(0,2,5)$.

Find the Cartesian equation of the plane through $(0,1,2)$, $(1,0,3)$ and $(2,2,0)$.

Find the Cartesian equation of the plane containing $(1,2,3)$, $(4,5,6)$ and $(7,8,10)$.

Determine the Cartesian equation of the plane containing $P(2,3,5)$, $Q(6,1,4)$ and $R(4,5,2)$.

Find the Cartesian equation of the plane passing through the points $A(1,0,1)$, $B(3,1,-1)$ and $C(1,-1,2)$.

Find the Cartesian form of the plane through $A(1,2,-1)$, $B(3,0,2)$ and $C(-1,4,3)$.

Determine the equation of the plane through $P(2,-3,1)$, $Q(5,0,4)$ and $R(-1,2,2)$.

Find the Cartesian equation of the plane containing $A(-1,2,3)$, $B(4,0,1)$ and $C(2,-1,4)$.

Determine the equation of the plane through $A(0,0,0)$, $B(1,2,3)$ and $C(4,0,1)$.