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    #11 Thread Author
    Quote Originally Posted by Klaas van Aarsen View Post
    Yep.
    Ok!! Can we get a specific vector? Maybe using the matrix of map $\sigma_a$ ?

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    #12
    Quote Originally Posted by mathmari View Post
    Ok!! Can we get a specific vector? Maybe using the matrix of map $\sigma_a$ ?
    The question only asks for a fixed vector.
    We know now that we need a vector perpendicular to the line of reflection.
    The line has an angle a with respect to the positive x-axis.
    So $(\cos a,\,\sin a)$ is a directional vector along the line.
    Can we find a vector perpendicular to it?

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