Orthogonal Vectors

kiddopop

New member
Joined
Sep 14, 2009
Messages
25
Let u = <-1, 1, 2> and v = <2, -1, -1>. Find all unit vectors orthogonal to both u and v.

I know that one can use cross products to find a vector orthgonal to both u and v and scale it down to be a unit vector. But the question says to find all the unit vectors and I don't know how to go about doing that since there is an infinite number of them.
 
You almost have it.

You said that the cross product of u and v would be a normal vector. That is right. Get the unit vector. Now you have limited you answers to just two... the unit vector and its negative. All other vectors are based on those two.

Is that okay?
 
Top