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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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