RT. 求点或向量绕源点旋转a后的坐标
有些博客是 ∣xy∣∣cosasina−sinacosa∣=∣xcosa−ysinaxsina+ycosa∣\begin{vmatrix}x&y\end{vmatrix}\begin{vmatrix}\cos a&\sin a\\-\sin a&\cos a\end{vmatrix} = \begin{vmatrix}x\cos a-y\sin a&x\sin a + y\cos a\end{vmatrix}xycosa−sinasinacosa=xcosa−ysinaxsina+ycosa
剩下的却是:
∣xy∣∣cosa−sinasinacosa∣=∣xcosa+ysina−xsina+ycosa∣\begin{vmatrix}x&y\end{vmatrix}\begin{vmatrix}\cos a&-\sin a\\\sin a&\cos a\end{vmatrix} = \begin{vmatrix}x\cos a+y\sin a&-x\sin a + y\cos a\end{vmatrix}xycosasina−sinacosa=xcosa+ysina−xsina+ycosa
还有博客说两者都行,这两个答案表示的点难道是同一个吗?