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3-1.Vectors
easy
$ABC$ is an equilateral triangle. Length of each side is $a$ and centroid is point $O$. then $\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}=.......$

A
$0$
B
$1$
C
$2$
D
$3$
Solution
$\overrightarrow{O A}, \overrightarrow{O B}$ and $\overrightarrow{O C}$ are three vectors of equal magnitude which are separated by equal angles of $120^{\circ}$. Therefore their resultant is zero.
$\overrightarrow{O A}+\overrightarrow{O A}+\overrightarrow{O C}=\overrightarrow{0}$
Standard 11
Physics