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Question

Find the equations of the planes that passes through (1,1,1),(6,4,5),(4,2,3)

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Solution

The given points are A(1,1,1),B(6,4,5) and C(4,2,3).
∣ ∣111645423∣ ∣=(1210)(1820)(12+16)=2+24=0
Points are collinear.
Since A,B,C are collinear points, there will be infinite number of planes passing through the given points.

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