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Let vec(a), vec(b) and vec(c) be three n...

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

A

`(2)/(3)`

B

`(-2sqrt3)/(3)`

C

`(2sqrt2)/(3)`

D

`(-sqrt2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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