Cho hình hộp ABCD.A'B'C'D', đặt \(\overrightarrow{AB}=\overrightarrow{a},\overrightarrow{AD}=\overrightarrow{b},\overrightarrow{AA'}=\overrightarrow{c},\) thì đẳng thức nào sau đây đúng?
A. \(\overrightarrow{A'C}=\overrightarrow{a}+\overrightarrow{b}-\overrightarrow{c}\)
B. \(\overrightarrow{A'C}=\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}\)
C. \(\overrightarrow{A'C}=\overrightarrow{a}-\overrightarrow{b}+\overrightarrow{c}\)
D. \(\overrightarrow{A'C}=-\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}\)
\(\overrightarrow{A'C}=\overrightarrow{A'A}+\overrightarrow{AC}=-\overrightarrow{AA'}+\overrightarrow{AB}+\overrightarrow{AD}=\overrightarrow{a}+\overrightarrow{b}-\overrightarrow{c}\)