Let ` vec a , vec b` and ` vec c` be three non-zero vectors such that no two of them are collinear and `( vec axx vec b)xx vec c=1/3| vec b|| vec c| vec a` . If `theta` is the angle between vectors ` vec b` and ` vec c` then a value of `sintheta` is : (1) `(2sqrt(2))/3` (2) `(-sqrt(2))/3` (3) `2/3` (4) `(-2sqrt(3))/3`

Options

A. `(2sqrt(2))/(3)`
B. `(-sqrt(2))/(3)`
C. `(2)/(3)`
D. `-(2sqrt(3))/(3)`

Answer

(a)