Question

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

Answer 1

Cross product..

Answer 2

Im not getting the right answer for some reason

Answer 3

Normalize!

Answer 4

can you show me the steps?

Answer 5

\[ \frac{v\times w}{||v\times w||} \]

Answer 6

I don't understand the denominator

Answer 7

I guess my question would be how do you normalize

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

Just take the negative!

Answer 12

Multiply by -1.

Answer 13

oh, you're right!

Answer 14

haha thanks.