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Exercise 6

Avg difficulty 3.0

Describe the plane that contains this point and line.

(203){(−10−4)+(112)t∣t∈R}\begin{pmatrix}2\\ 0\\ 3\end{pmatrix}\qquad\text{$\{\hskip 1.00006pt\begin{pmatrix}-1\\ 0\\ -4\end{pmatrix}+\begin{pmatrix}1\\ 1\\ 2\end{pmatrix}t\mid t\in\mathbb{R}\hskip 1.00006pt\}$}

Hefferon, Linear Algebra, Linear Systems, Vectors in Space, Exercise 6

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.