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If overline(a),overline(b),overline( c) ...

If `overline(a),overline(b),overline( c) ` are non-zero vectors such that `(overline(a)xxoverline(b))xxoverline( c) =(1)/(3)|overline(b)||overline( c) |overline(a), overline( c) ⊥ and theta` is the angle between the vectors `overline(b) , overline( c)` then `sin theta=`.

A

`(2sqrt(2))/(3)`

B

`(1)/(3)`

C

`(sqrt(2))/(3)`

D

`(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
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