Let $A B C D E F$ be a regular hexagon with the vertices $A, B, C, D, E, F$ counter clockwise. If…

Let $A B C D E F$ be a regular hexagon with the vertices $A, B, C, D, E, F$ counter clockwise. If $O^{\prime}$ is the center of $\mathrm{ABCDEF}$, then the vector $\mathbf{A O}$ is to parallel/equal
  1. FE
  2. CD
  3. CB
  4. DE

Solution

Given, $A B C D E F$ is a regular hexagon with vertices $A, B, C, D, E, F$.
With the help of the diagram clearly we can see that $\mathbf{A O}$ is parallel to $\mathbf{B C}$ and $\mathbf{F E}$.

Asked in: AP EAMCET 2021 (23 Aug Shift 2)

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