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Vector Algebra question

2007 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2007 · Shift 1 · Q34

Vector Algebra question

2007 · Shift 1 · Q34

JEE AdvancedMathematicsVector AlgebraMCQ+3 / −1

Let the vector

\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 \left( {\overrightarrow {RS} + \overrightarrow {ST} } \right) e \overrightarrow 0

Statement 2 :

\overrightarrow {PQ} \times \overrightarrow {RS} = \overrightarrow 0

and

\overrightarrow {PQ} \times \overrightarrow {ST} e \overrightarrow 0

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 False
D
Statement 1 is False, Statement 2 is True

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