Let `bara=a_(1)bari+a_(2)barj+a_(3)bark,barb=b_(1)bari+b_(2)barj+b_(3)barkbarc=c_(1)bari+c_(2)barj+c_(3)bark` be three non-zero vectors such that `barc` be three non-zero vectors such that `bara` and `barb`. If the angle between `bara` and `barb` is `pi//6` then `abs({:(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3)):})^(2)=`

Options

A. 0
B. 1
C. `1/4abs(bara)^(2)abs(barb)^(2)`
D. `3/4abs(bara)^(2)abs(barb)^(2)`

Answer

C