Answer: The given vectors u and v are orthogonal.
Step-by-step explanation: We are given to check whether the following vectors are parallel, orthogonal or neither :
u = <3, 0> and v = <0, -6>.
We have
the dot product of the vectors <a, b> and <c, d> is given by
D = ac + bd.
So, the dot product of the given vectors u and v is given by
D = <3, 0> . <0, -6> = 3×0 + 0×(-6) = 0 + 0 = 0.
Therefore, the given vectors are orthogonal.
Thus, the vectors u and v are orthogonal.