Let a̅ = î− ĵ, b̅ = ĵ− k̂ & c̅= k̂ − i.̂
If d̅ is a unit vector such that
a vector. d vector = 0 [b̅ c̅d],
then find d̅.
I get that you want a•d = something, but I have no idea what "0 [b̅ c̅d]" is supposed to mean.
Forget all the overlines and carets and stuff. We get that a,b,c,d,i,j,k are vectors. Just say what you want.