## INT 4 years ago what are two unit vectors that are orthogonal to both <1,-1,1> and <0,4,4>

1. YTheManifold

Cross product..

2. INT

Im not getting the right answer for some reason

3. YTheManifold

Normalize!

4. INT

can you show me the steps?

5. YTheManifold

$\frac{v\times w}{||v\times w||}$

6. INT

I don't understand the denominator

7. INT

I guess my question would be how do you normalize

8. YTheManifold

Well if you have a vector v=(x,y,z) then $||v|| := \sqrt{x^2+y^2+z^2}$

9. Zarkon

$\|<a,b,c>\|=\sqrt{a^2+b^2+c^2}$

10. INT

ok, I got one of them. Would the other orthogonal vector just be B X A ?

11. YTheManifold

Just take the negative!

12. YTheManifold

Multiply by -1.

13. INT

oh, you're right!

14. INT

haha thanks.