Determine whether the vectors u and v are parallel, orthogonal, or neither. u = < 3, 0> , v = < 0, -6>

 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.

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step-by-step explanation: