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Let `vec(a)` , `vec(b)` and `vec(c)` be three non-zero vectors such that no two of them are collinear and `(vec(a)×vec(b))×vec(c)=1/3|vec(b)||vec(c)|vec(a)`. If `theta` is the angle between vectors `vec(b)` and `vec(c)`, then the value of `sintheta` is:

A

`(2sqrt(2))/3`

B

`(-sqrt(2))/3`

C

`2/3`

D

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

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The correct Answer is:
A
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