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Finding an orthogonal vector 
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#1
Mar1910, 03:24 PM

P: 1

Hey guys,
Given a vector, ie < 1, 2, 3 > , how does one go about finding a vector which is orthogonal to it? I also have another vector < x, y ,z > which is the point of origin for the above vector. In context, I'm given a directional vector from which I need to find an 'up' vector and a 'horizontal' vector. You can see here http://www.cs.auckland.ac.nz/~jli023...glechanged.jpg  I have a 'look_at' vector and must determine a suitable up and right vector. I know that to get the right/ horiztonal vector I can just take the cross product between the directional / look at vector and the up vector. However, how to get the up vector confuses me. A standard up vector is <0 1 0 >. Would it make sense to take the cross product of <0 1 0 > and the direction vector  to get the horizontal vector. And then take the cross product of the horizontal and directional vectors to get the proper up vector? It makes sense to me, however I have no real way of checking if my answer is correct!  I need to find some nice 3d plotting software hehe Cheers, Dan 


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