Let the vectors PQ , QR , RS , ST , TU and UP represent the sides of a regular hexagon. STATEMENT-1 : PQ ( RS + ST ) 0. because STATEMENT-2 : PQ RS = 0 and PQ ST 0.

JEE Advanced 2007 Mathematics question

Let the vectors , , , , and represent the sides of a regular hexagon. STATEMENT-1 : . because 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)

Successive sides of a regular hexagon turn by 60°, so makes 120° with and makes 180° with it ( is parallel to , opposite in direction). Hence and

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-037459