Answer
$u$ and $v$ are not orthogonal.
Work Step by Step
$u$ and $v$ are orthogonal vectors if and only if $u·v=0$
$u·v=-i·(i+2j)=(-i+0j)·(i+2j)=-1(1)+0(2)=-1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.