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Vector Addition

If ABCDEF b...

Question

If $A B C D E F$ be a regular hexagon and $¯ ¯¯¯¯¯¯ ¯ A B = ¯ ¯ ¯ a, ¯ ¯¯¯¯¯¯ ¯ B C = ¯ ¯ b, ¯ ¯¯¯¯¯¯¯ ¯ C D = ¯ ¯ c$ then $¯ ¯¯¯¯¯¯ ¯ A E$ is equal to

¯ ¯ ¯ a + ¯ ¯ b + ¯ ¯ c

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¯ ¯ b + ¯ ¯ c

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¯ ¯ ¯ a + ¯ ¯ b

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¯ ¯ ¯ a + ¯ ¯ c

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Solution

The correct option is C $¯ ¯ b + ¯ ¯ c$
(Regular Hexagon )
$- - \to A E = - - \to A B + - - \to B C + - - \to C D + - - \to D E (a d d i t i o n t h e o r e m)$
$- - \to D E = - - - \to A B (a n t i p a r l l e l v e c t o r)$
$- - \to A E = \to b + \to c$

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