Determine whether the given vectors are orthogonal, parallel,or neither:

(a) u = <-3,9,6>, v =<4, -12,-8>.

We first check the dot product of"u" and "v" to determine if
they are orthogonal (dot product will be 0):

    u•v = (-3)*(4) +(9)*(-12) +(6)*(-8) = -168 NOT= 0

so that these vectors are NOT orthogonal. We nextdetermine
if "u" and "v" arelinearly dependent:

     (-3)/(4) = -3/4
     (9)/(-12) = -3/4
     (6)/(-8) = -3/4

Hence, these vectors are linearly dependent and arethus parallel:

     {Vectors "u" and"v" Are PARALLEL}