find 2 vectors orthogonal to (0,1,1) and to each other

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find 2 vectors orthogonal to (0,1,1) and to each other

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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[1,1,0] and [1,0,1]
but the dot product of (1,0,1) and (0,1,1) is 1, not 0
Your questions don't same to have enough info to work with. Where are you getting these questions? from a book? making them up for practice?

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Other answers:

(0,-1,1) should work
a book
So share with us. How did you determine <0,-1,1>
wouldn't (0,1,1)*(0,-1,1) = 0?
It may very well be. I am asking how did you find it?
i just did it in my head
So if you were instructing someone, you would tell them make a guess and then test it to see if it so?
you saay let vector v=(v1,v2,v3) such that u dot v=0*v1+1*v2+1*v3=0 any vector v that satisfies that equation is orthogonal to (0,1,1)

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