Solve this:
​Q25. Let a, b and c be three non-zero vectors such that no two of them are collinear and (a × b) × c =  1 3 |b|| c| a. If  θ  is the angle between vectors b and c, then a value of sin  θ   is 

     (a)  2 2 3                                  (b)  - 2 3
   
     (c)  2 3                                         (d)  - 2 3 3

 

 

 

Dear Student,

Refer the link for the answer to your query:

https://www.meritnation.com/ask-answer/question/let-a-b-c-be-three-non-zero-vectors-such-that-no-two-of-them/vector-algebra/9945802

Just replace Q with θ in the above link and you will get the answer. Also, 83 = 223So, option A is correct

Regards

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