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Let a,b, c in R be such that a^(2) + b...

Let a,b, c `in R` be such that `a^(2) + b^(2) + c^(2)` = 1 . If ` a cos theta = b cos (theta + (2pi)/(3)) = c cos ( theta + (4pi)/(3))`, where `theta = (pi)/(9)`, then the angle between the vectors ` a hat(i) + b hat(j) + c hat(k)` and `bhat(i) + chat(j) + ahat(k)` is

A

`(2pi)/(3)`

B

`(pi)/(2)`

C

`(pi)/(9)`

D

0

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