Let `vec(a)=hat(i)-hat(j), vec(b)=hat(j)-hat(k), vec(c)=hat(k)-hat(i)`. If `vec(d)` is a unit vectors such that `vec(a)*vec(d)=0=[vec(b)vec(c)vec(d)]`, then `vec(d)` is (are) :

Options

A. `pm(hat(i)+hat(j)-hat(k))/sqrt(3)`
B. `pm(hat(i)+hat(j)-2hat(k))/sqrt(6)`
C. `pm(hat(i)+hat(j)+hat(k))/sqrt(3)`
D. `pmhat(k)`

Answer

B