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If ` vec a , vec b ,a n d vec c` be non-zero vectors such that no tow are collinear or `( vec axx vec b)xx vec c=1/3| vec b|| vec c| vec adot` If `theta` is the acute angle between vectors ` vec ba n d vecc` , then find the value of `s inthetadot`

A

`(1)/(3)`

B

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

C

`(2)/(3)`

D

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

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The correct Answer is:
D
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