Greetings,(adsbygoogle = window.adsbygoogle || []).push({});

I'm a little stuck on this algebra question

Find 2 unit vectors orthogonal to v1 = <3,1,1,-1>, v2 = <-1,2,2,0> and v3 = <1,0,2,-1>

I know that this means that if I let z be the vector orthogonal to these 3 then,

z.v1 = z.v2= z.v3 = 0

And that my two vectors is likely +/- z.

I can do something like this:

z = <a,b,c,d>

z.v1 = z.v2

3a + b + c -d = -a + 2b + 2c

but now what? Or is this the wrong idea?

Thanks in advance!

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# Homework Help: 2 vectors orthogonal to 3 4-d vectors

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