Let the vectors \overrightarrow{PQ} , \overrightarrow{QR} , \overrightarrow{RS} , \overrightarrow{ST} , \overrightarrow{TU} and \overrightarrow{UP} , represent the sides of a regular hexagon. STATEMENT-1: \overrightarrow{PQ} \times (\overrightarrow{RS}+\overrightarrow{ST}) ≠ 0^{\to}. because STATEMENT-2: \overrightarrow{PQ} \times \overrightarrow{RS} = 0^{\to} and \overrightarrow{PQ} \times \overrightarrow{ST} ≠ 0^{\to}. [JEE Adv 2007 P1]

Correct Answer is : Statement-1 is True, Statement-2 is False.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is False.

Statement-1 is False, Statement-2 is True.

IIT JEE Advanced 2007 Paper 1

Section: Mathematics

Question : 56 of 66

Marks: +1, -0

Let the vectors

→

and

→

, represent the sides of a regular hexagon.
STATEMENT-1:

→

×(

→

) ≠

→

.
because
STATEMENT-2:

→

and

→

≠

→

[JEE Adv 2007 P1]

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is False.
Statement-1 is False, Statement-2 is True.

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