Question

Find the real vectors that are orthogonal to the given vectors:
\(\Large \left< 1 ,\; 1 ,\; 1 \right>\) and \(\Large \left< 1 ,\; -1 ,\; 0 \right>\)

Answer 1

The answer key says "All the multiples of <1, 1, -2>".

I just can't seem to remember how to do this :x Hmm

Answer 2

Cross product = 0 or something like that maybe? +_+

Answer 3

Yeah, definitely.

Answer 4

take the cross product

Answer 5

That will give you a vector orthogonal to both.

Answer 6

Then, all scalar multiples of that vector is the result.

Answer 7

Oh cool it worked! c: thanks!
Just needed a refresher heh.

Answer 8

I know how it is. Cross products and determinants can be such a PAIN!