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×ST≠0
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×RT≠0 Thus assertion is true.Since PQ and RS are not parallel, PQ×RS≠0 Therefore reason is false.