Let a, b and c are three vectors hacing ...

Let a, b and c are three vectors hacing magnitude 1, 2 and 3 respectively satisfying the relation [a b c]=6. If `hat(d)` is a unit vector coplanar with b and c such that `bhat(d)=1`, then evaluate `|(axxc)d|^(2)+|(axxc)xxhat(d)|^(2)`.

Let a, b and c are three vectors hacing magnitude 1, 2 and 3 respectively satisfying the relation [a b c]=6. If `hat(d)` is a unit vector coplanar with b and c such that `b*hat(d)=1`, then evaluate `|(axxc)*d|^(2)+|(axxc)xxhat(d)|^(2)`.