Matematika

Pertanyaan

Titik A (5,-1) dirotasikan terhadap titik B (2,3) sejauh 90 derajat searah putaran jarum jam. Bayangan titk A adalah

1 Jawaban

  • 90 searah jarum jam
    Sudut = -90 djt
    [tex]A' = \left[\begin{array}{cc}\cos -90&-\sin -90\\\sin -90&\cos -90\end{array}\right]\left[\begin{array}{cc}5-2\\-1-3\end{array}\right]+\left[\begin{array}{cc}2\\3\end{array}\right] \\ A'=\left[\begin{array}{cc}0&1\\-1&0\end{array}\right]\left[\begin{array}{cc}3\\-4\end{array}\right]+\left[\begin{array}{cc}2\\3\end{array}\right] \\ A'=\left[\begin{array}{cc}-4\\-3\end{array}\right]+\left[\begin{array}{cc}2\\3\end{array}\right] \\ A'=\left[\begin{array}{cc}-2\\0\end{array}\right][/tex]
    Bayangan A berada di (-2,0)

Pertanyaan Lainnya