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Let a.b and c be non-zero vectors such t...

Let a.b and c be non-zero vectors such that `(a xx b) xx c = (1)/(3) |b| |c| a`. If `theta` is the acute angle between the vectors b and c then sin `theta` =

A

`(2 sqrt2)/(3)`

B

`(1)/(3)`

C

`(sqrt2)/(3)`

D

`(2)/(3)`

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