Exercise 1.1.3

Question

Find the equations of the planes containing the following points in space.
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(a) $(2,-5,-1),(0,4,6)$, and $(-3,7,1)$
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(b) $(3,-6,7),(-2,0,-4)$, and $(5,-9,-2)$
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(c) $(-8,2,0),(1,3,0)$, and $(6,-5,0)$
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(d) $(1,1,1),(5,5,5)$, and $(-6,4,2)$

Jephian C.-H. Lin · Accepted Answer

Here $s$ and $t$ are in $\mathbb{F}$.

\begin{enumerate}
\item $(2,-5,-1)+s(-2,9,7)+t(-5,12,2)$
\item $(3,-6,7)+s(-5,6,-11)+t(2,-3,-9)$
\item $(-8,2,0)+s(9,1,0)+t(14,3,0)$
\item $(1,1,1)+s(4,4,4)+t(-7,3,1)$
\end{enumerate}

Exercise 1.1.3

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Exercise 1.1.3

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