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Find the equations of the planes that passes through three points a 1 1 minus 1 6 4 minus 5 minus 4 minus 2 3

6   Find the equations of the planes that passes through three points.

   (a)      (1, 1, – 1), (6, 4, – 5), (– 4, – 2, 3) 

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   (a)      (1, 1, – 1), (6, 4, – 5), (– 4, – 2, 3) 

\begin{bmatrix} 1& 1 & -1 \\ 6 & 4&-5 \\-4&-2&3\end{bmatrix}= (12-10)-(18-20)-(-12+16)

                                 =2+2-4

                                 =0

A,B,C are collinear points so there are infinite number of the planes that passes through three points

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