Question

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

Answer 1

[1,1,0] and [1,0,1]

Answer 2

but the dot product of (1,0,1) and (0,1,1) is 1, not 0

Answer 3

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?

Answer 4

(0,-1,1) should work

Answer 5

a book

Answer 6

So share with us. How did you determine <0,-1,1>

Answer 7

wouldn't (0,1,1)*(0,-1,1) = 0?

Answer 8

It may very well be. I am asking how did you find it?

Answer 9

i just did it in my head

Answer 10

So if you were instructing someone, you would tell them make a guess and then test it to see if it so?

Answer 11

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)