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Question

Assertion :Let the vectors PQ,QR,RS,ST,TU and UP represent the sides the regular hexagon
PQ×(RS+ST)0 Reason: PQ×RS=0 and PQ×ST0

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is C Assertion is correct but Reason is incorrect
We have RS+ST=RT
As PQ and RS are not parallel to each other.
PQ×(RS+ST)=PQ×RT0
Thus assertion is true.Since PQ and RS are not parallel, PQ×RS0
Therefore reason is false.

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