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Q.

Statement –I: A vector perpendicular to both i¯+j¯+k¯  and 2i¯+j¯+3k¯   is  2i¯j¯k¯
Statement –II: Every vector perpendicular to plane containing a¯,b¯  is equal to a¯×b¯ 
 

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a

Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I

b

Statement-I is true, Statement-II is true, Statement-II is not correct explanation for Statement-I

c

Statement-I is true, Statement-II is false

d

Statement-I is false, Statement-II is true

answer is C.

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Detailed Solution

a¯=i+j+k    b¯=2i+j+3k    a¯×b¯=|i¯j¯k¯111213|   =i¯(2)j¯(32)+k¯(12) =2i¯j¯k¯

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