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Q.

Three vectors a¯,b¯,c¯ are such that a¯×b¯=3a¯×c¯ also both a, b are unit vectors and  c¯=13, if the angle between b¯ and c¯ is 60 then _______

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a

b¯=3c¯2a¯

b

b¯=3c¯+a¯

c

b¯=3a¯c¯

d

b¯=3c¯+2a¯

answer is A.

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Detailed Solution

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a¯×b¯=a¯×3c¯a¯×b¯a¯×3c¯=o¯a¯×(b¯3c¯)=O¯a¯b¯3c¯

b¯3c¯=λa¯(1) S.O.Bλ=±1b¯3c¯=a¯b¯=3c¯+a¯

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