Let `bar(a) = hat(i), hat(j), bar(b) = hat(j), hat(k), bar(c) = hat(k), hat(i)`. If `bar(d)` is a unit vector such that `bar(a).bar(d) = 0 = [bar(b) bar(c) bar(d)]`. Then `bar(d)` equals.

Options

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

Answer

A