JEE Advanced Mathematics question

Let the vectors and represent the sides of a regular hexagon. STATEMENT-1: STATEMENT-2: and .

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is FalseCorrect
(D)Statement-1 is False, Statement-2 is True

Answer: (C)

Solution

*(Figure: regular hexagon described anticlockwise, with diagonal dashed.)*

Going round a regular hexagon, the side directions turn by each time: make angles with

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Question ID VK-110369