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Q.

If a¯ and b¯ are two vectors  such that |a¯|=1,|b¯|=4 and a¯.b¯=2. when c¯=(2a¯×b¯)3b¯, angle between b¯ and c¯ is

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a

π3

b

π6

c

3π4

d

5π6

answer is D.

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Detailed Solution

|a¯×b¯|2=|a¯|2|b¯|2(a¯.b¯)2=(1)(16)4=12

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