Cho hình hộp $ABCD.A'B'C'D'$. Chọn khẳng định đúng.
$\overrightarrow{BD}-\overrightarrow{D'D}-\overrightarrow{B'D'}=\overrightarrow{BB'}$ | |
$\overrightarrow{BD}-\overrightarrow{D'D}-\overrightarrow{B'D'}=\overrightarrow{AC'}$ | |
$\overrightarrow{BD}-\overrightarrow{D'D}-\overrightarrow{B'D'}=\overrightarrow{CD}$ | |
$\overrightarrow{BD}-\overrightarrow{D'D}-\overrightarrow{B'D'}=\overrightarrow{AC}$ |
Chọn phương án A.
$\begin{aligned}
\overrightarrow{BD}-\overrightarrow{D'D}-\overrightarrow{B'D'}&=\overrightarrow{BD}+\overrightarrow{DD'}+\overrightarrow{D'B'}\\
&=\overrightarrow{BD'}+\overrightarrow{D'B'}\\
&=\overrightarrow{BB'}.
\end{aligned}$