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Exercise 8

Avg difficulty 3.0

Intersect each pair, if possible.

  • {(112)+t(011)∣t∈R}\{\hskip 1.00006pt\begin{pmatrix}1\\ 1\\ 2\end{pmatrix}+t\begin{pmatrix}0\\ 1\\ 1\end{pmatrix}\mid t\in\mathbb{R}\hskip 1.00006pt\},  {(13−2)+s(012)∣s∈R}\{\hskip 1.00006pt\begin{pmatrix}1\\ 3\\ -2\end{pmatrix}+s\begin{pmatrix}0\\ 1\\ 2\end{pmatrix}\mid s\in\mathbb{R}\hskip 1.00006pt\}

  • {(201)+t(11−1)∣t∈R}\{\hskip 1.00006pt\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}+t\begin{pmatrix}1\\ 1\\ -1\end{pmatrix}\mid t\in\mathbb{R}\hskip 1.00006pt\},  {s(012)+w(041)∣s,w∈R}\{\hskip 1.00006pts\begin{pmatrix}0\\ 1\\ 2\end{pmatrix}+w\begin{pmatrix}0\\ 4\\ 1\end{pmatrix}\mid s,w\in\mathbb{R}\hskip 1.00006pt\}

Hefferon, Linear Algebra, Linear Systems, Vectors in Space, Exercise 8

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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.