Cho hình vuông \(ABCD\) cạnh \(a\), tâm \(O\). Tính \(\left|\overrightarrow{OB}+\overrightarrow{OC}\right|\).
![]() | \(\left|\overrightarrow{OB}+\overrightarrow{OC}\right|=a\) |
![]() | \(\left|\overrightarrow{OB}+\overrightarrow{OC}\right|=a\sqrt{2}\) |
![]() | \(\left|\overrightarrow{OB}+\overrightarrow{OC}\right|=\dfrac{a}{2}\) |
![]() | \(\left|\overrightarrow{OB}+\overrightarrow{OC}\right|=\dfrac{a\sqrt{2}}{2}\) |
Chọn phương án A.
Ta có \(\overrightarrow{OB}+\overrightarrow{OC}=\overrightarrow{DO}+\overrightarrow{OC}=\overrightarrow{DC}\).
Suy ra \(\left|\overrightarrow{OB}+\overrightarrow{OC}\right|=DC=a\).