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Back to Orthogonal Projection Into a Line

Exercise 2

Avg difficulty 3.0

Project the vector orthogonally into the line.

  • (a)  (2−14), {c(−31−3)∣c∈R}\begin{pmatrix}2\\ -1\\ 4\end{pmatrix},~{}\text{$\{\hskip 1.00006ptc\begin{pmatrix}-3\\ 1\\ -3\end{pmatrix}\mid c\in\mathbb{R}\hskip 1.00006pt\}$}     (b)  (−1−1)\begin{pmatrix}-1\\ -1\end{pmatrix}, the line y=3xy=3x

Hefferon, Linear Algebra, Maps Between Spaces, Orthogonal Projection Into a Line, Exercise 2

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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.