如圖所示在坐標平面上,ΔOAB為一正三角形,其中點A的坐標為(1,2),點B為 (b_1,b_2)。試問下列何者為真?
(b_1,b_2)
b_1+ib_2=(\cos60^\circ+i\sin60^\circ)(1+2i)
b_1+ib_2=(\cos60^\circ-i\sin60^\circ)(1+2i)
(b_1,b_2)=(-1,2)
\begin{bmatrix}b_1\\b_2\end{bmatrix}=\begin{bmatrix}\cos60^\circ&-\sin60^\circ\\\sin60^\circ&\cos60^\circ\end{bmatrix}\begin{bmatrix}1\\2\end{bmatrix}
\begin{bmatrix}b_1\\b_2\end{bmatrix}=\begin{bmatrix}\cos60^\circ&\sin60^\circ\\\sin60^\circ&-\cos60^\circ\end{bmatrix}\begin{bmatrix}1\\2\end{bmatrix}