We have been given two vectors:
[tex]u=6i-6j+7k[/tex] and [tex]v=0[/tex].
Let us first find the cross product [tex]u \times v[/tex]:
[tex]u \times v[/tex]=i(0)-j(0)+k(0) = 0i+0j+0k
Since the cross product turned out to be the null vector, therefore, we cannot find the unit vector parallel to [tex]u \times v[/tex] in the direction of [tex]u \times v[/tex] for the given scenario.