If `bar(a) = hat(i) + hat(j) + hat(k)` and `bar(c) = hat(j) - hat(k)`, find a vector `bar(b)` satisfying `bar(a) xx bar(b) = bar(c)` and `bar(a).bar(b) = 3`

Answer

`bar(b) = (1)/(3) (5hat(i) + 2hat(j) + 2hat(k))`