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Exercise 7

Avg difficulty 3.0

Intersect these planes.

{(111)t+(013)s∣t,s∈R}\{\hskip 1.00006pt\begin{pmatrix}1\\ 1\\ 1\end{pmatrix}t+\begin{pmatrix}0\\ 1\\ 3\end{pmatrix}s\mid t,s\in\mathbb{R}\hskip 1.00006pt\}        {(110)+(030)k+(204)m∣k,m∈R}\{\hskip 1.00006pt\begin{pmatrix}1\\ 1\\ 0\end{pmatrix}+\begin{pmatrix}0\\ 3\\ 0\end{pmatrix}k+\begin{pmatrix}2\\ 0\\ 4\end{pmatrix}m\mid k,m\in\mathbb{R}\hskip 1.00006pt\}

Hefferon, Linear Algebra, Linear Systems, Vectors in Space, Exercise 7

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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.